Answer:
8x ≤ 53 - 10
8x ≤ 43
x ≤ 43/8
X is smaller or equal to 43/8 (5.375)
47.5 min to jog 5 mi, min to jog 11 mi
Answer:
104.5 min
Step-by-step explanation:
47.5:5=x:11
1. Simplify
9.5:1=x:11
2.Solve
x=104.5
8. Larissa plans to bake at
most 10 loaves of bread.
She makes x loaves of banana bread that sell for
$1.25 each and y loaves of nut bread that sell for
$1.50 each. She hopes to make at least $24 in sales.
Write and graph a system of inequalities for this
situation. What does the
graph show?
The system of inequalities is:
x + y ≤ 10
x*$1.25 + y*$1.50 ≥ $24
And the graph can be seen below, on the graph, we can see that there are no solutions.
How to write and graph a system of inequalities?So we need to start by defining the variables we will be using, these are:
x = number of loaves of banana bread.y = number of loaves of nut bread.First, we know that Larissa wants to make at most 10 loaves of bread, then we can start with the inequality:
x + y ≤ 10
We also know that each banana bread sells for $1.25 and each but bread sells for $1.50, and she wants to make at least $24, then:
x*$1.25 + y*$1.50 ≥ $24
So the system of inequalities is:
x + y ≤ 10
x*$1.25 + y*$1.50 ≥ $24
So to graph these inequalities, we need to shade the region abovce the first line:
x + y = 10
and below the second line:
1.25*x + 1.50*x = 24
The graph of that system of inequalities can be seen below. The graph shows that the system has no real solutions (only has solutions for negative values of x).
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Through a given point not contained in a given line, there exists ___ ___ line parallel to the given line. (two words)
There is ONLY ONE __ line parallel to the provided line that passes through a certain point that is not contained in the supplied line.
What do parallel lines mean?Parallel lines are any two or more lines that are in the same plane but never cross one another ( never intersect). Both have the same slope and are equally far from one another.
We have a line and a point outside the line;
from that point, we can generate many lines, but only one of those lines will be parallel to the line as it is. From a point, we can make many lines, but that point can only create one line that will be parallel to a given line.
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You're given AIKJ with m/JIK = 53°, m/IKJ = (82-5x), and m/KJI = (7z+24)°. What is mZIKJ? Your final answer might not look to
scale. Do NOT round your answer.
Angle ∠IKJ is 29.5 degrees for triangle IKJ.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
The given triangle is IKJ.
The angles are given as follow.
∠JIK = 53°,
∠IKJ = (82-5x), and
∠KJI = (7x+24)°.
We need to find the angle ∠IKJ .
By angle sum property of triangle, the sum of three angles is 180 degrees.
∠JIK+∠IKJ+∠KJI = 180
Fifty three plus eighty two minus five times of x plus seven times of x plus twenty four equal to one hundred and eighty.
53+82-5x+7x+24=180
Add the like terms
159+2x=180
One hundred fifty nine plus two times of x equal to one hundred eighty.
subtract 159 on both sides
2x=21
Divide both sides by 2.
x=10.5
So ∠IKJ is 82-5(10.5)=29.5 degrees.
Hence, the value of angle ∠IKJ is 29.5 degrees.
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Help Pleaseee ONLY CORRECT ANSWERSS> I WILL GIVE BRAINIEST.
Answer:
16[tex]\pi[/tex]
Step-by-step explanation:
Area = [tex]\frac{\pi r^{2} }{4}[/tex] It is only 1/4 of a circle so we have to divide by 4
a = [tex]\frac{8^{2}\pi }{4}[/tex]
a = 16[tex]\pi[/tex]
Your family goes to a Southern-style restaurant for dinner. Some order chicken dinner for $14 each and some order the steak dinner for $17 each. If the total bill came to $99, how many people ordered dinner?
People in my family ordered 1 chicken dinner and 5 steak dinner.
There are total 6 peoples in a family.
Let's x number of people order chicken dinner
and y number of people order steak dinner.
Here we have to use concept of linear equation.
we have to make 2 linear equation and solve them to get the value.
sum of number of people is 6.
[tex]x + y = 6[/tex] --- i
total bill came to $99.
1 chicken dinner takes $14.
So x chicken dinners takes x*14
1 steak dinner takes $17.
So y steak dinners takes y*17.
Sum of both dinners price
[tex]x*14+y*17 = 99[/tex] -- ii
From equation i x = 6 - y.
put value of x in equation ii.
(6-y)*14+y*17 = 99
84-14*y+17*y = 99
3*y = 99-84
3*y = 15
y = 5
x = 6-5 = 1.
So 1 people ordered chicken dinner and 5 people ordered steak dinner.
Given Question is incomplete Complete Question here
Your family goes to a southern style restaurant for dinner. There are 6 people in your family. Some order the chicken dinner for $14 and some order the steak dinner for $17. If the total bill was $99 l, how many people ordered each dinner?
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how do i comeplete this equation using substitution?
The solution to the equations using the substitution method is x = - 2 and y = 0
What are the solutions?The two equations given are known as system of equations. The equations have to be solved simultaneously to determine the required values.
y = 6x + 12 equation 1
y = 4x + 8 equation 2
Equate equation 1 and equation 2 together
6x + 12 = 4x + 8
6x - 4x = 8 - 12
2x = -4
x = -4 / 2
x = -2
Substitute for x in equation 1:
y = 4(-2) + 8
y = -8 + 8
Y = 0
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Please help me.
Prove that if a + b > 100, a, b, or both must be greater than 50
Answer:
Step-by-step explanation:
To prove this statement, we can use the contrapositive. The contrapositive of the statement "If a + b > 100, then a, b, or both must be greater than 50" is "If a and b are both less than or equal to 50, then a + b is less than or equal to 100."
To prove the contrapositive, we must show that if a and b are both less than or equal to 50, then a + b is indeed less than or equal to 100. This is easy to do, because if a and b are both less than or equal to 50, then the largest possible value for a is 50 and the largest possible value for b is 50. Therefore, the largest possible value for a + b is 50 + 50, which is equal to 100.
Since the contrapositive is true, it follows that the original statement must also be true. Therefore, we have proven that if a + b > 100, then a, b, or both must be greater than 50.
The price of the shirt was $38. It was reduced by 20% and then again by 10%.
Answer:$26.6
Step-by-step explanation:
Answer:
= 26.6
Step-by-step explanation:
38 * 20/100 = 38 *1/5 = 7.6
38 - 7.6 = 30.4
38 * 10/100 = 38 *1/10 = 3.8
30.4 - 3.8 = 26.6
Solve the following equation for x:
3(x+5) = 1/9
8
4
-8
None of these choices are correct.
The solution to the linear equation 3(x + 5) = 1/9 is
x = -4 26/27.
The correct answer is option D; None of these choices are correct.
How to solve linear equation?3(x + 5) = 1/9
open parenthesis
3x + 15 = 1/9
Substract 15 from both sides
3x = 1/9 - 15
3x = (1-135)/ 9
3x = -134/9
divide both sides by 3
x = -134/9 ÷ 3
Multiply by the reciprocal of 3
x = -134/9 × 1/3
= -134/27
x = -4 26/27
Therefore, -4 26/27 is the solution that satisfies the equation 3(x + 5) = 1/9
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What is the probability of landing on a 5 and then landing on an even number?
Write your answer as a percentage rounded to the nearest tenth.
The probability of landing on a 5 and then landing on an even number is 8.3%.
What is percentage?
A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.
The number of 5 on the dice is one.
Probability is the ratio of the number of favorable outcome to the total number of outcome.
The number of faces of dice is 6.
The probability of getting 5 is 1/6.
The even faces on the dice are 2, 4, 6.
The number of even number faces is 3.
The probability of getting even number is 3/6 = 1/2.
The probability of two independent event is the product of the probability of the events.
Therefore, the probability is (1/6) × (1/2)
= 1/12
= 0.083
= 8.3%
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Not understanding this question
The unknown angle in the triangle is as follows:
∠E = 100 degrees.
How to find angles in a triangle?The sum of angles in a triangle is 180 degrees.
In the diagram, BCD is cut by transversal ACE , AB and perpendicular to BCD and CE ≅ ED.
Therefore,
∠ACB = 180 - 50 - 90 (sum of angles in a triangle)
∠ACB = 180 - 140
∠ACB = 40 degrees
Therefore,
∠ACB ≅ ∠DCE
Hence,
∠DCE = 40 degrees.
Triangle CDE is an isosceles triangle since CE ≅ DE.
Hence,
∠CDE = 40 degrees
∠E = 180 - 40 - 40
∠E = 180 - 80
∠E = 100 degrees.
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Ivan,Bella, and Ian agreed to hare a pizza which wa cut into 10 lice. Ivan at 40% of the pizza
Using the percentage writing form, we know that Ivan ate 4 pizza slices.
What are percentages?By dividing the value by the entire value and multiplying the result by 100, one may determine the percentage.
The percentage calculation formula is (value/total value)100%.
Add all percentages as numbered values, divide by the total number of sets, and you get the average percentage.
The results by 100.
So, we know that:
Ivan ate 40% of the pizza.
And the pizza was cut into 10 slices.
Rewrite the percentage value as:
4/100 = 0.4
We can calculate how many slices Ivan consumed by multiplying the percentage value by the number of slices:
10 + 0.4 = 4
Hence, Ivan ate 4 slices of pizza.
Therefore, using the percentage writing form, we know that Ivan ate 4 pizza slices.
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Hi y’all i’m so lost, please help
Answer:
108
324
12
and 54
Step-by-step explanation:
50 PTS Determine if you can use the hypotenuse-leg congruency property to prove the triangles are congruent.
A. No, the hypotenuse-leg congruence property cannot be applied, because we don't know if a leg of one triangle is congruent to a leg of the other triangle.
B. No, the hypotenuse-leg congruence property cannot be applied, because we don't know if the hypotenuses are congruent.
C. Yes, the hypotenuse-leg congruence property can be applied.
D. No, the hypotenuse-leg congruence property cannot be applied, because we don't know if the triangles are right triangles.
What is the area of AFGH?
-10 -8 -6
H
Area =
-4 -2
square units
104
-8
6
4
2
0
2
-4
-6
-8
-10
4
6
8
00
F
X
10
G
Answer:
-2 = x 4-2 square units
Step-by-step explanation:
sum = as per as chart
Select the expressions that are equivalent to 8(5q). 8 + 5g 8(5 + q) 40q (q + 5)8
I don't know what is equivalent to 8(5q) ?
Answer:
the answer is 40q
Step-by-step explanation:
8x5 is 40 when using the distributive property
How many ways can you answer a 5 multiple choice question test, where there are 4 choices for each question
There are 1024 ways to answer the 5 multiple choice question having 4 options
What is permutation ?The number of possible arrangements for a given set is calculated mathematically, and this process is known as permutation. A permutation is a term that describes the variety of possible arrangements or orders of objects.
We have 5 multiple choice questions.
And we are given four options to solve the question
Repeating is permitted (you can answer "c" on all of the questions if you want to)
So ,
We will use permutation to solve the question
[tex]n^{r}[/tex]
r is number of questions = 5
n is number of choices = 4
[tex]4^{5}[/tex] = 4×4×4×4×4 = 1024
There are 1024 ways to answer the 5 multiple choice question having 4 options
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A belt connects two pulleys. Larger pulley has a radius of 60cm and the smaller pulley has a radius of 20cm. The smaller pulley runs at 48 revolutions per min
a) how many revolutions per minute does the larger pulley run at? [hint: find the circumference of each pulley]
(i got 16 rev per min i don't know if that's correct)
b) find angular speed of the smaller pulley in radians per min
c) find the angular speed of the larger pulley in radians per min
d) find the speed of the smaller pulley in cm per min
Therefore the solution to this question of 2 pulleys is )16 rpm
b)360 rad/min c)39.6 rad/min d) 7200cm/min
What is Angular speed?A pseudovector used in physics to express how quickly an object's angular position or orientation changes over time is called an angular velocity, rotational velocity, or angular frequency vector.
For the smaller pulley, it does 48 rpm (revolutions per minute) each revolution is 360 degrees. This indicates that the pulley completes one revolution every second .
radians / π = degrees / 180
radians = πx 360 / 180 = 2 π radians per second
The distance covered by both pulleys is equivalent for the larger pulley.
then d1 = d2
every second, small pulley covers a distance of 40π (small pulley circumference) = d1
d2 = 40π = 120π (large pulley circumference) x factor (f)
f = 1/3
a) the revolutions per min by larger pulley=16 rpm
b) the speed of smaller pulley = 3*2π=6π=6rad/sec=360rad/min
c) then speed of the large pulley = 1/3 * 2π = 2/3 π = 0.66 rad/sec=39.6rad/min
d)the speed of smaller pulley=7200 cm/min
Therefore the solution to this question of 2 pulleys is )16 rpm
b)360 rad/min c)39.6 rad/min d) 7200cm/min
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“The sum of three and a number, divided by three, is five”
I need help again due tomorrow
Answer: The number is 12
Step-by-step explanation:
Let x= the number that is unknown
The sum of three and a "number"= 3+"x"
Divided by three, means that x+3 is divided by 3
Is five, means that (x+3)/3=5
Algebra:
[tex]\frac{x+3}{3}=5[/tex]
Multiply by 3 to arrive at x+3=15
Subtract both sides by 3, then x=12
Solve for x.
Thank you
Answer:
12
Step-by-step explanation:
The measure of each interior angle is [tex]\frac{180(8-2)}{8}=135^{\circ}[/tex].
[tex]\implies 135=9x+27 \\ \\ 15=x+3 \\ \\ x=12[/tex]
Fill in the gaps to factorise this expression.
p² - 36 = (p+_) (p − −)
Answer:
Step-by-step explanation:
wait
Raquel wants to buy a concert ticket online. Raquel has a coupon code to discount the cost of the concert ticket. The cost of the concert ticket online has been found to be t-.25t + 15, where t the cost of the ticket in dollars.
By what percent is the ticket cos being discount ?
How much is the flat booking fee ?
Answer:
the percent being discounted is 25% and the flat booking fee is 15
Step-by-step explanation:
t is the cost of the ticket. -.25t is the 25% coupon being taken off. The 15 is the booking fee.
Henry took 42.7 minutes to complete an exam Laticia took 28.7 minutes to complete the same exam who completed their exam first
Answer:
Unless these took place in different time periods, Laticia did first.
Step-by-step explanation:
28.7 < 42.7
The square root of (-5x)^3, for which values of x does this expression make sense?
Answer: Yes it does, it is -125x to the power of 3.
Step-by-step explanation:
Answer:MONKEY
Step-by-step explanation:
CAUSE I SAID DO
The radius of a circle is 4.5 cm. Find the circumference
to the nearest tenth
Answer: C≈28.27cm
Step-by-step explanation:
C=2πr=2·π·4.5≈28.27433cm
Answer:
28.3 cm
Step-by-step explanation:
You want the circumference of a circle with radius 4.5 cm.
CircumferenceThe circumference of a circle is given by ...
C = 2πr
For the given circle, the circumference is ...
C = 2π(4.5 cm) = 9π cm ≈ 28.3 cm
The circumference is about 28.3 cm.
<95141404393>
Find what K is in this question
Answer:
[tex]\huge\boxed{\sf k = 3}[/tex]
Step-by-step explanation:
Given that,[tex]5+6i+(-2+ki)=3+9i\\\\5 + 6i-2+ki=3+9i\\\\Combine \ like \ terms\\\\5-2+6i+ki=3+9i\\\\3+(6+k)i=3+9i\\\\Comparing \ both \ sides\\\\6 + k = 9\\\\Subtract \ 6 \ both \ sides\\\\k = 9-6\\\\k = 3\\\\\rule[225]{225}{2}[/tex]
Jessica deposits her summer babysitting earnings, $600, in a savings account. How many years will it take her to earn $150 in interest at a simple annual rate of 5%? Enter the correct number in the formula.
150 = (600) (.05) (?)
this is a middle school question not high school sorry
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$ 150\\ P=\textit{original amount deposited}\dotfill & \$600\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ t=years \end{cases} \\\\\\ 150 = (600)(0.05)(t) \implies \cfrac{150}{(600)(0.05)}=t\implies 5=t[/tex]
PLEASE HELP ILL GIVE BRAINLIEST use the similar triangles as a guild to find the slope of the line
Answer:
Slope is 1, since we use rise over run which is expressed as 1/1
The sales tax rate is 4.315% for the city and 4% for the state. Find the total amount paid for 2 boxes of chocolates at $17.07 each.
PLS HELP ME
Answer: $18.49
Step-by-step explanation:
First, add both the tax rate, 4.315 + 4 = 8.315%
Then take 17.07 divided by 100%, then times 8.315% = $1.42
Then add 17.07 + 1.42 = $18.49