The pounds of fruit he buy if he buys 3 pounds of pears and 2 pounds of apples is $16.75.
In case he buys x pounds of pears and y pounds of apples, then he will have ($3.50x + $3.25y) number of fruits.
How can this be calculated?The concept that will be used is the concept of addition.
We were told that the Pears cost $3.50 per pound and apples cost $3 per pound from the question.
We can get the total pounds of fruits bought by multiplying the pounds of apples with cost per pound and then add it to the multiplication of the pounds of blueberries and cost per pound which can e expressed as:
($3.50 x 2) =$ 7
+ (3.25 x 3) = $9.75
Then add together as
($ 7 + $9.75 )= $16.75
Then if if he buys x pounds of pears and y pounds of apples, the number of pounds friuyt he buys will be
$3.50x + $3.25y
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Suzanne has 12 jars of beads. some of her jars have 15 beads, and the others have 9 beads. she has 126 beads in all. How many of her jars have 9 beads?
A 3 jars
B 6 jars
C 9 jars
The number of Suzanne jars that have 9 beads is 9.
How to find the number of jars that have 9 beads?Suzanne has 12 jars of beads. some of her jars have 15 beads, and the others have 9 beads. she has 126 beads in all.
The number of jars that have 9 beads can be calculated as follows:
let
the number of jars that have 15 beads = x
the number of jars that have 9 beads = y
Hence,
x + y = 12
15x + 9y = 126
multiply equation(i) by 15
15x + 15y = 180
15x + 9y = 126
subtract equation(i) from equation(ii)
6y = 54
divide both sides by 6
y = 54 / 6
y = 9
Therefore,
jars with 9 beads = 9
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BASED ON BEN’S WORK SHOWN, HOW WOULD HE RESPOND?
The point IS a solution to the system. Only one of the equations resulted in anidentity.
The point isNOT a solution to the system. Both equations resulted in identities.
The point is NOT a solution to the system. Only one of the equations resulted in an identity.
The point IS a solution to the system. Both equations resulted in identities.
The point is NOT to fix the system. There was just one equation that produced an identity. The right answer option 3
Equation: What is it?An equation is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
X = 6 and Y = -8 are the points in BEN'S WORK SHOWN's 2x + y = 4 equation, and after solving it, we have the verification.
However, for x + 3y = -20, the points x = 6 and y = -8 are not solved, and since points here only fulfill one equation,
The point is NOT a solution to the system. Only one of the equations resulted in an identity.
if both the solution would have been then we can say that point is a solution to the system. but this is not true as one equation is not satisfy
The point is NOT a solution to the system. Both equations resulted in identities. this is also not true as one is identities not both.
The point IS a solution to the system. Both equations resulted in identities. this is also not true as both are not identities as only one is identities.
Thus option 3 is correct
The point is NOT a solution to the system. Only one of the equations resulted in an identity.
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Can someone help me with this
Answer:
y=-3/1x-2
y=9/3x+8
Step-by-step explanation:
Slope is -3/1 using rise over run, it's just negative because the graph is slanted down. The slope is 9/3 using rise over run. Then the y-intercepts are -2 and 8.
-Hope this helped & Happy Holidays!
Need help with this question
The value of the angle m∠BDC is 105°.
What is third angle theorem?If the other two sets are both congruent, then the third angles are equal.The third pair of angles must be congruent if two angles in one triangle are congruent with two angles in another triangle. The Third Angle Theorem refers to this.The Triangle Sum Theorem can be thought of as an extension of the Third Angle Theorem. The Triangle Sum Theorem states that once two angles in a triangle are known, you automatically know the third. This indicates that if you have two triangles with two pairs of congruent angles between them, you will receive the same result both times when you apply the Triangle Sum Theorem to each triangle to determine the third angle. The third pair of angles must therefore likewise be similar.Let separate the triangles and find missing angle in triangle with given angles.
CAD = 45°
CDA = 30°
Then, CAD+CDA+ACD = 180°
45°+30°+ACD=180°
ACD=180°-75°
=105°
by applying third angle theorem,
∠CAD=∠DBC=45°
∠ADC=∠BCD=30°
Then, ∠DBC+∠BCD+∠BDC=180°
45°+30°+BCD=180°
BCD=180°-75°
=105°
Hence, The value of the angle m∠BDC is 105°.
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Part A
MANUFACTURING A fashion company spends $10 to produce a pair of jeans and $2 to produce a shirt. During a
typical month, they spend $3500 on the production of jeans and shirts. During months in autumn, though, they
double the pairs of jeans produced and spend a total of $6000. How many pairs of jeans and t-shirts does the
company make during a typical month?
Letj= number of pairs of jeans and k = number of shirts.
Part A
Write the system of equations.
Select Choice vj+ Select Choice k= 3500
Select Choice v + Select Choice
k=6000
Answer: When you solve the equations and work them out, you get the answer of $4000.
The Yellow Taxicab Co. charges a $2.75 flat rate and $.65 for each additional mile. Emma has no more than $14 to spend on a ride. Carefully set up an inequality, how many miles can Emma ride without exceeding her spending limit?
The maximum miles that Emma can ride without exceeding her spending limit is 17.3 miles
What are Linear Inequalities?
A linear inequality is a mathematical inequality that incorporates a linear function. A linear inequality contains one of the inequality symbols. It depicts the data which is not equal in graph form.
The linear expression formed using the given description will be 2.75 + 0.65x
where x is the total number of miles
and the linear inequality formed will be 2.75 + 0.65x < 14
Refer to the graph below
So, the maximum miles that Emma can ride without exceeding her spending limit is 17.3 miles
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Please help it's urgent!
part a) says write an equation and solve for x
Answer: look at explanation
Step-by-step explanation:
1. Since those are congruent you equal them to eachother: 6x-8=4x+2
2. Then you solve (steps are shown below)
a) 6x-8=4x+2
b) 2x-8=2
c) 2x=10
d) x=5
3. Answer should be x=5
hope this helps!
Evelyn need to add 3 1/3 cup of ugar to her cookie dough. She only ha a 2/3-cup meaure. How many coop of ugar doe Evelyn need to add?
The required fraction cup of sugar do Evelyn need to add is 8/3.
How to deal with fraction?Multiply the numerators and denominators independently to track down the item. At the point when you need to duplicate divisions, increase the 2 numerators together first and compose it on top. Then increase the denominators together and compose it on the lower part of the portion. Improve on your response on the off chance that you would be able so it is in the least terms.
According to question:As question says Evelyn need 3(1/3) cup og sugar
To find many cup of sugar do Evelyn need to add.
Let the required sugar be x
Then,
2/3 + x = 3(1/3)
x = 10/3 - 2/3
x = 8/3 cup of sugar need.
Thus, required cup of sugar is 8/3.
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Find the equation of the line in tandard form that pae through the point (1, -3) and (-2, -1)
The equation of line in standard form that pass through the point (1, -3) and (-2, -1) is (-2x/3)-y=7/3 where -2/3 is x-intercept and -1 is the y-intercept.
What does the straight line equation mean?A straight line's equation is given by y=mx+c, where c is the height at which the line intersects the y-axis (often referred to as the y-intercept) and m is the gradient.
Why is there an equation of a line?The set of points that make up a line in a coordinate system are represented algebraically by a line's equation. An equation of a line is an algebraic expression that represents the many points that together make up a line in the coordinate axis as a set of variables, x, and y.
we are given with;
x1=1, y1=-3
x2=-2, y2=-1
equation of line in standard form:
Ax+By=C
so using formula:
(y−y1)=(y2−y1)(x−x1)/(x2−x1)
(y−(-3))=((-1)−(-3))(x-1)/(-2−1)
(y+3)=(2)(x−1)/(-3)
(y+3)=(2x−2)/(-3)
y+3=(-2x/3)+(2/3)
y=(-2x/3)+(2/3)-3
y=(-2x+2-9)/3
y=(-2x-7)/3
(2x/3)+y=-7/3
rearranging;
(-2x/3)-y=7/3
This is our required answer.
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(04.04 LC)
The functions f(x) = −2x + 30 and g(x) = 3x + 10 are shown in the graph.
graph of f of x equals negative 2 times x plus 30 and g of x equals 3 times x plus 10
Determine the approximate ordered pair for f(x) = g(x).
a
(4, 22)
b
(22, 4)
c
(4, 18)
d
(18, 4)
The approximate ordered pair for f(x) = g(x) is given as; (4, 22) from the graph. Option A
At what points are the solutions equal?We know that there are two equations that can be shown from the set of equations that have been written here and the set of equations that we have are;
f(x) = −2x + 30
g(x) = 3x + 10
We are now trying to see the points at which the equation can be said to be equal. This refers to the point where f(x) = g(x). How can we be able to obtain this point? If we are to get this point then we must go back and look at the graph very well.
As we are looking at the graph very well we should fix our eyes on any point where the line of two functions can be seen to intersect. Once that happens, we can say that we have reached the point where the two functions can be said to be equal. This point is read from the graph as (4, 22)
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4. Jim paid £70 for a bike.
Then pays £10 per month.
a) Write down an expression
for the total amount paid after
m months.
b) Factorise the expression.
Step-by-step explanation:
Jim paid £70 for a bike. Then pays £10 per month.
a) Write down an expression for the total amount paid after m months.
cost = 10m + 70
_______________________________________
b) Factor the expression.
10m + 70
common factor is 10 so:
10(m + 7)
Answer:
Step-by-step explanation:
100
Jasmine made fancy red costume decorations for each of the dancers in her year-end dance performance. She used 1/4 of a meter of ribbon for each decoration, which she got by cutting 1/2 of a meter of ribbon into equal pieces. How many decorations did Jasmine make?
There are 2 decorations that Jasmine makes.
What are word problems?
A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
You can tackle any word problem by following these five steps:
Read through the problem carefully, and figure out what it's about.Represent unknown numbers with variables.Translate the rest of the problem into a mathematical expression.Solve the problem.Check your work.Since we have given that
Length of a meter of ribbon used = 1/4
[tex]\frac{1}{4} = \frac{1}{4}.100 = 25[/tex]
Length of a meter cut into equal pieces = 1/2
[tex]\frac{1}{2} =\frac{1}{2}.100= 50[/tex]
So, Number of decorations that Eli make is given by
Length of total ribbon / Length of ribbon used
= 50 / 25
= 2
Hence, there are 2 decorations that Jasmine makes.
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(35 POINTS!!)
The height of a hot air balloon over time is given in the following table.
The height of a blimp over time is given by y = 250x, where y represents the height in feet and a represents the time in minutes.
How fast is the hot air balloon rising? How fast is the blimp rising?
Hot air balloon: (?) feet per minute.
Blimp: (?) feet per minute.
The hot air balloon is rising at 600 feet per minute and the blimp are rising at 250 feet per minute
How to determine how fast the hot air balloon and the blimp are rising?How fast is the hot air balloon rising?
From the question, we have the following parameters that can be used in our computation:
The height of a balloon over time is represented by the graph
On the graph, we have the following points
(x, y) = (0, 0) and (2, 1200)
The rate is calculated as
Rate = (1200 - 0)/(2 - 0)
Evaluate
Rate = 600
Hence, the rate of rising is 600 feet per minute
How fast is the blimp rising?
From the question, we have the following parameters that can be used in our computation:
The height of a blimp over time is given by y = 250x
The above equation is a linear equation
A linear equation can be represented as
y = mx + c
Where
slope = m
This means that the slope of y = 250x is 250
The slope represents the rate
Hence, the rate of rising is 250 feet per minute
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-35+12=
Could someone help me pls
Answer: -23
Step-by-step explanation:
When you're adding to a negative the negative number decreases, so if you're adding 12 from negative 35, you're taking away 12 negative numbers, hence why the answer is -23
hope that helped :)
1. Which expression is equivalent to 10x – 5 + 8x - 7?
Answer: 18x-12
Step-by-step explanation:
Add 10x +8x (because they both have x at the end so its fine to add them
then do -5-7= -12
Which statement is true?
O A.
B.
C.
D.
the other acute angle.
In any right triangle, the sine of one acute angle is equal to the cosine of
In any right triangle, the sine of one acute angle is equal to the sine of its complementary angle.
In any right triangle, the cosine of one acute angle is equal to the cosine of
angle.
its complementary
and the cosine of the other acute angle is 1.
In any right triangle, the sum of the sine of one acute angle
Answer:
In any right triangle, the sine of one acute angle is equal to the cosine of the other angle.
Step-by-step explanation:
How can you show that these two circles are similar?
well, similarity on circles is a phony business
in essence, all circles are similar by definition, I mean, hell they're all circular, what's so unsimilar about that?
however, the silly proof asks to translate it about and then dilate it to be superimposed on the other.
Log base 28 of 7 plus log base 28 of 4
Answer:
log base 28 of (7x4)
log base 28 of (28)
which equals 1
Workers are loading boxes onto a truck. So far, they have loaded 48 boxes onto the truck. According to their inventory, they still need to load 96% of the boxes on the truck. What is the total number of boxes the workers are loading on the truck?
The total number of boxes of inventory which is loading on the truck by the workers are 1,200 boxes.
What is percentage of a number?
Percentage of a number is the part of the number expressed in the in every hundred. Percentage of a number is expressed with the symbol '%'.
Workers are loading boxes onto a truck . So far, they have loaded 48 boxes onto the truck.
According to their inventory, they still need to load 96% of boxes on the truck. There must be 100% box at the start of the loading. Thus, the percentage of boxes they have load,
p=100-96 = 4%
Thus the percentage of boxes they have load in the truck is 4%. This is equal to the 48 boxes they have loaded.
Let suppose there is x number of total boxes. Thus the 4 percent of x will be equal to the 48.
(4/100)x=48
x = 4800/4 = 1200
Thus, the total number of boxes of inventory which is loading on the truck by the workers are 1,200 boxes.
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triangle A"B"C" is formed using the translation (x+1,y+1) and the dilation by a scale factor of 3 from the origin. Which equation explains the relationship between BC and B"C"
Answer:
the equation that explains the relationship between BC and B"C" is:
BC = 2 * B"C"
This equation states that the length of BC is equal to twice the length of B"C".
Step-by-step explanation:
If triangle A"B"C" is formed using the translation (x+1,y+1) and the dilation by a scale factor of 3 from the origin, then the coordinates of the vertices of triangle A"B"C" can be expressed as follows:
A" (x+1, y+1)
B" (3x+3, 3y+3)
C" (3x+6, 3y+6)
To find the equation that explains the relationship between BC and B"C", we can use the distance formula to find the length of both segments. The distance formula is:
distance = √((x2 - x1)^2 + (y2 - y1)^2)
Where (x1, y1) and (x2, y2) are the coordinates of the two points.
Using the distance formula, we can find the length of BC as follows:
BC = √((3x - x)^2 + (3y - y)^2)
= √((2x)^2 + (2y)^2)
= √(4x^2 + 4y^2)
= 2√(x^2 + y^2)
We can also find the length of B"C" as follows:
B"C" = √((3x+6 - 3x-3)^2 + (3y+6 - 3y-3)^2)
= √((3)^2 + (3)^2)
= √(9 + 9)
= √(18)
= 3√(2)
The line L has equation 3x + 4y -12 =0
The gradient of line L is: ?
The line crosses the y axis at the point P with coordinates: ?
The line crosses the x axis at the point Q with coordinates: ?
The triangle formed by the line and the x and y axes has area =
square units
For non-integer solutions, express the answer as a proper or an improper fraction using the notation a/b
Answer:
1 -3/4
2. P(00,3)
3. Q(4,0)
4. 6
Step-by-step explanation:
1. 3x+4y=12
4y= -3x+12
y= -(3/4)x+ 3 , so gradient = -3/4
2. Y intercept is P (0,3)
3. X intercept is Q(4,0)
4. Area = 3×4÷2=6
Find the length of AB.
8 m
80°
AB =[? ]m
Round your answer to the nearest hundredth.
Answer:11.17
Step-by-step explanation:
pi x D x angle /360
pi x 8x2x80/360
=11.170
What is an angle this is supplementary to CFE
I think you're answer is right angle
2X-3Y=4
X+Y=6
please explain each step
Answer:
Step-by-step explanation:
Rewrite equations: x+y=6;2x−3y=4
Solve x+y=6 for x: x+y+−y=6+−y (Add -y to both sides)
x=−y+6
Substitute −y+6 for x in2x−3y=4: 2x−3y=4
2(−y+6)−3y=4
−5y+12=4 (Simplify both sides of the equation)
−5y+12+−12=4+−12 (Add -12 to both sides)
−5y=−8
−5y/−5=−8/−5 (Divide both sides by -5)
y=8/5
Substitute 8/5 for y in x=−y+6:
x=−y+6
x=−8/5 +6
x=22/5 (Simplify both sides of the equation)
Answer: x=22/5 and y=8/5
On Wednesday 28% of the customers who bought gas at a gas station made additional purchases. There were 300 customers who bought gas. How many of these 300 customers made additional purchases?
Answer:70 i think srry if its wrong
Step-by-step explanation:
Emma grew 6 plants with 3 seed packets. How many seed packets does Emma need to have a total of 16 plants in her backyard? Solve using unit rates.
8 seed packets
Step-by-step explanation:First, we need to figure out how many plants Emma can grow with each seed packet. To do this, divide 6 plants (the number of plants Emma currently has) by 3 seed packets (the number Emma had to begin with). This will give us a unit rate of "2 plants per seed packet".
Now that we know the unit rate, we can use it to figure out how many seed packets Emma needs to have 16 plants in her backyard. Divide 16 plants (the number of plants Emma wants to have) by 2 plants per seed packet (the unit rate). This will give us 8 seed packets.
Therefore, Emma needs 8 seed packets to have a total of 16 plants in her backyard.
If you have any additional questions or need further assistance, please let me know.
Help me please unit plsss
The possible elevation of Salton city will be;
⇒ x < - 2 feet
Where, x is the elevation of Salton city.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
New Orleans is 2 feet below sea level.
And, Salton City has an elevation that is lower than New Orleans.
Now,
New Orleans is 2 feet below sea level.
And, Salton City has an elevation that is lower than New Orleans.
Let the elevation of Salton city = x feet
Thus, We get;
The possible elevation of Salton city will be;
⇒ x < - 2 feet
Where, x is the elevation of Salton city.
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One weekend, a shop had 850 customers. 375 were men and the rest were women. What is the ratio of men to women customers in its simplest form?.
When there were 375 men and 475 women, the simple ratio of men to women clients was 15/19.
What is ratio?An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls.
Here,
Total customers=850
Total number of men=375
Total number of women,
=850-375
=475
The ratio of men to women customers,
=375/475
Divide both terms by the GCF 25,
375 ÷ 25 = 15
475 ÷ 25 = 19
=15/19
The ratio of men to women customers in its simplest form is 15/19 when there were 375 men and 475 women.
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Sinx+1 =cos x
Hint: square both sides
Answer:
1 – cos²x = Sin²x
Step-by-step explanation:
Sinx + 1 = cos x
by squaring both sides
(Sinx + 1)² = (cos x )²
Sin²x + 1 = cos²x
1 – cos²x = Sin²x
i hope this helped
The ratio of the angles in a triangle is 3:5:8 what is the measure of the largest angle
The measure of the largest angle is 96 degrees.
What is a ratio?
A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3
The measure of the largest angle in the triangle is 96 degrees.
To find the measure of the largest angle, we can use the fact that the sum of the measures of the angles in a triangle is always 180 degrees.
Let's call the measures of the three angles x, y, and z, where x is the measure of the smallest angle, y is the measure of the middle angle, and z is the measure of the largest angle.
We are given that the ratio of the angles is 3:5:8, which means that x:y:z = 3:5:8.
We can set up the following equation to represent the sum of the measures of the angles in the triangle:
x + y + z = 180
We can also set up the following equation to represent the ratio of the angles:
x : y : z = 3 : 5 : 8
We can use these two equations to find the measure of the largest angle.
First, let's multiply the second equation by 3, 5, and 8 to get:
3x = 15y = 24z
Then, we can substitute these equations into the first equation to get:
15y + 24z = 180
Solving for z, we get:
z = 180 / (15+24) = 180 / 39 = 96
Therefore, the measure of the largest angle is 96 degrees.
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