Answer:
The present age of the artifact is 1,600 years
Step-by-step explanation:
let the present age of the artifact = x
let the present age of the book, = y
x = 4y ---- equation (1)
x + 200 = 3(y + 200) ------equation (2)
x + 200 = 3y + 600
substitute in the value of x into the equation;
4y + 200 = 3y + 600
4y - 3y = 600 - 200
y = 400
Then, x = 4 x 400
x = 1,600 years
Therefore, the present age of the artifact is 1,600 years
Answer:
The present age of the artifact is 1,600 years
Step-by-step explanation:
let the present age of the artifact = x
let the present age of the book, = y
x = 4y ---- equation (1)
x + 200 = 3(y + 200) ------equation (2)
x + 200 = 3y + 600
substitute in the value of x into the equation;
4y + 200 = 3y + 600
4y - 3y = 600 - 200
y = 400
Then, x = 4 x 400
x = 1,600 years
A company has a $150 budget to provide lunch for its 20 employees. The options are to provide either roast beef sandwiches, which cost $5 apiece, or tuna sandwiches, which also cost $5 apiece. The company also wants to use the entire budget. Suppose r represents the number of roast beef sandwiches it provides and t represents the number of tuna sandwiches. Which statement is correct?
The company can provide lunch for all 20 employees and use the entire budget because there is a solution to the system of equations r minus t = 20 and 5 r + 5 t = 150.
The company can provide lunch for all 20 employees and use the entire budget because there is a solution to the system of equations r + t = 20 and 5 r + 5 t = 150.
The company cannot provide lunch for all 20 employees and use the entire budget because there is no solution to the system of equations r minus t = 20 and 5 r + 5 t = 150.
The company cannot provide lunch for all 20 employees and use the entire budget because there is no solution to the system of equations r + t = 20 and 5 r + 5 t = 150.
Answer:
D.) The company cannot provide lunch for all 20 employees and use the entire budget because there is no solution to the system of equations r+t=20 and 5r+5t=150
Step-by-step explanation:
The given information says that the total amount of lunch bought should equal $150 when both options cost $5:
[tex]5r+5t=150[/tex]
It also says that the food should feed all 20 employees:
[tex]r+t=20[/tex]
This is now a system. Solve by substitution.
Solve the second equation for r. Use inverse operations to isolate the variable by subtracting t from both sides:
[tex]r+t-t=20-t\\\\r=20-t[/tex]
Now insert this value of r into the first equation:
[tex]5(20-t)+5t=150[/tex]
Simplify the equation. Use the distributive property:
[tex]5(20)+5(-t)+5t=150\\\\100-5t+5t=150[/tex]
Cancel the terms:
[tex]100\neq 150[/tex]
100 does not equal 150, so there is no solution to the system.
:Done
Tamara sold 92 cold drinks during her 2-hours shift a festival food stand. If she sold same number of drinks each hour , how many cold drinks did she sell each hour?
Answer:
92/2= 46/h
46 and hour is the answer
2) Zoe was practicing for a marathon. She practiced for six days, running
four miles each day. How many miles did Zoe run altogether?
Answer: zoe ran 24 miles
greatest common factor of 24, 36, and 50
Answer:
The greatest common factor of 24, 36, and 50 is 2.
Step-by-step explanation:
Factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24
Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
Factors of 50 are 1, 2, 5, 10, 25, 50
Therefore the GCF is 2.
We can see that 2 is the only common factor, hence the greatest common factor of 24, 36, and 50 is 2
For us to get the greatest common factor of 24, 36, and 50, we need to get their individual factor first as shown:
24 = 2 * 12
36 = 2 * 18
50 = 2 * 25
From all the factors, we can see that 2 is the only common factor, hence the greatest common factor of 24, 36, and 50 is 2
Learn more: https://brainly.com/question/219464
3(x-1) – 1= - 7x
2 3
I need help please
Walter chrysler sells car engines. He receives a 11% commission on the first $50,000 in sales and 17% on anything over $50000. He had a good month and sold $225,000 worth of engines.(btw walter chrysler was a machinist who founded chrysler) How big was his check for the month? A. 35250 B. 41522 C. 64000 D. 220000
WILL GIVE BRAINLIEST
Answer:
A
its the first one
I need help please Will mark brainliest.
Answer:
10 is the constant
y = 4x + 10
Step-by-step explanation:
Y is the y- intecerpt
x is the slope.
constant is any number by itself no x no nothing since 4 is the slope and has X the constant is the y-intercept which is 10.
Answer:
K = 2.5
y = 2.5 * 4
Step-by-step explanation:
K = y/x
K = 10/4
2.5 = 10/4
K = 2.5
y = k * x
y = 2.5 * 4
The width of a rectangle is 3 cm less than twice its length. If the perimeter of the
rectangle is 18 cm, find its dimensions.
Answer:
length=4
Width=2×4-3=5
Step-by-step explanation:
Let length =X
Width =2x-3
Perimeter=18
2(length+width)=18
2(X+2x-3)=18
3x-3=9
3x=12
X=12/3
X=4
So length=4
Width=2×4-3=5
Answer:
[tex] \huge{ \boxed{ \bold{ \sf{Length \: = \: 4 \: cm}}}}[/tex]
[tex] \huge{ \boxed{ \bold{ \sf{Width = 5 \: cm}}}}[/tex]
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☯ Question :
The width of a rectangle is 3 cm less than twice its length. If the perimeter of the rectangle is 18 cm, find its dimensions.☯ Step - by - step explanation :
✒ First, Let length of a rectangle be ' L '.
✑ Given :
Width of a rectangle = 3 cm less than twice its length ( i.e W = 2L - 3 )Perimeter of a rectangle ( P ) = 18 cm☞ Finding value of length of a rectangle :
[tex] \boxed{ \sf{Perimeter \: of \: a \: rectangle = 2(L + W)}}[/tex]
Plug the values and solve for L
➺ [tex] \sf{18 = 2(L+ 2L - 3)}[/tex]
➺ [tex] \sf{18 = 2(3L - 3)}[/tex] { Add : 2L and L )
➺ [tex] \sf{18 = 6L - 6}[/tex] { Distribute 2 through the parentheses )
➺ [tex] \sf{6L - 6 = 18}[/tex] { Swipe the sides of the equation }
➺ [tex] \sf{6L = 18 + 6}[/tex] { Move 6 to right hand side and change it's sign )
➺ [tex] \sf{6L = 24}[/tex] { Add the numbers : 18 and 6 }
➺ [tex] \sf{ \frac{6L}{6} = \frac{24}{6}} [/tex] { Divide both sides by 6 }
➺ [tex] \boxed{ \sf{length \: ( \: L\: ) \: = \: 4 \: cm}}[/tex]
☞ Now , Evaluating 2L - 3 when L = 4 cm in order to find the value of width of a rectangle : [tex] \sf{2l - 3}[/tex]
➺ [tex] \sf{2 \times 4 - 3}[/tex] { Plug the value of length }
➺ [tex] \sf{8 - 3}[/tex] { Multiply 2 by 4 }
➺ [tex] \boxed{ \sf{Width \: ( \: W \: ) \: = \: 5 \: cm}}[/tex]
Hence ,
Length of a rectangle ( L ) = 4 cmWidth of a rectangle ( W ) = 5 cmHope I helped!
Have a wonderful day! ツ
~TheAnimeGirl ♡
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Which table has a constant of proportionality between y and x of
of
1/4
Answer:
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Solve for the value of v.
Answer:
6x9 =54
54-4 =50
v =9
Answer:
v =9
Step-by-step explanation:
Factor a trinomial of the form x^2+bx+c
Answer:
[tex]\mathrm{Factor}\:x^2+5x+6:\quad \left(x+2\right)\left(x+3\right)[/tex]
Step-by-step explanation:
Let us assume the trinomial of the form [tex]x^2+bx+c[/tex]
[tex]x^2+5x+6[/tex]
Break the expression into the groups
[tex]=\left(x^2+2x\right)+\left(3x+6\right)[/tex]
Factor out 'x' from [tex]x^2+2x[/tex]
i.e.
[tex]\:x^2+2x=x\left(x+2\right)[/tex]
Factor out '3' from 3x+6
i.e.
3x+6 = 3(x+2)
so the expression becomes
[tex]\:x^2+2x=x\left(x+2\right)[/tex]
[tex]\mathrm{Factor\:out\:common\:term\:}x+2[/tex]
[tex]=\left(x+2\right)\left(x+3\right)[/tex]
Hence,
[tex]\mathrm{Factor}\:x^2+5x+6:\quad \left(x+2\right)\left(x+3\right)[/tex]
Choose an answer and tell me why u chose it
9514 1404 393
Answer:
(D) (170 -4x)°
Step-by-step explanation:
Angles 1 and 5 are corresponding, so are congruent. Angle 6 forms a linear pair with angle 5, so is its supplement. That is, angle 6 is the supplement of angle 1:
∠6 = 180° -(4x +1)° = (180 -1)° -4x°
∠6 = (179 -4x)° . . . . matches choice D
PLS HELP THX PLS jrkdkekmc
Answer: No
Step-by-step explanation:
The c kind of cut off, but you can use slopes to figure it out. The rule for a perpendicular slope is the opposite reciprocal. Assuming that C is the right angle, since right triangles typically work that way, we can figure out the slopes for ac and bc. The slopes are not reciprocals:
AC= -5/2
BC= -1/3
This isn't a right triangle because the lines are not perpendicular.
Billy plotted −3 4 and −1 4 on a number line to determine that −3 4 is smaller than −1 4 . A number line going from negative 2 to positive 2 in increments of 1. There are 4 equal spaces between each number. A point is 1 mark to the right of negative 1, and another point is 1 mark to the left of 0. Is he correct? Explain why or why not.
Answer:
Sample Response: Yes, Billy is correct. The fractions are placed on the correct tick marks. The smaller fraction is located to the left of the larger fraction.
Step-by-step explanation:
I NEED HELP ASAP!!!! PLS HELP ME. WILL MARK THE FIRST ANSWER BRAINLIEST!!!
Answer:
I am too young for this type of math, but I suggest you try M-a-t-h w-a-y
How to solve m(2x-5) = 9x-k STEP BY STEP
Find the measure of angle b.
Answer:
angle b=36
Step-by-step explanation:
angle b = 90-54=36 (given b+54+90)
How do I make -25/176 in decimal form?!?!I WILL GIVE BRAINLIEST TO WHOEVER ANSWERS:)
divide.
-25/176 is -.142
Answer:
you divide -25 by 176
-25 on the inside of the "dog house" and 176 on the outside because if you did it the other way it would be a whole number.
It would equal -0.14204545454
I hope this is good enough for you:
What will happen to the graph of the line y = -54x + 3 if you change -54 to 54?
Answer:
Graph the line using the slope and y-intercept, or two points.
Slope:
1
y-intercept: ( 0 , 0 ) x y 0 0 1 1
Based on what you've read, decide which of the four basic operations you need to use. Then, solve the problems.
1. On a trip to Florida, Santina drove 203 miles and Carole drove 189 miles. How many more miles did Santina drive than Carole?
2. A restaurant uses 80 pounds of potatoes per week. The restaurant owner buys the potatoes in 10-pound bags from a local farmer. How many bags will the owner need to buy this week?
3. Six-packs of cola were on sale at a grocery store. John bought the limit, which was 8 six-packs. How many individual cans of cola is this?
4. Lori is reading The Grapes of Wrath for her American literature class. She read 85 pages last weekend, 135 pages during the week, and 98 pages this weekend. What is the total number of pages she has read so far?
5. A football team scored 34 points in their first game, 21 points in their second game, 9 points in their third game, and 28 points in their fourth game. What is the team’s average score for the season so far?
6. Reuben chews four pieces of chewing gum a day. The gum is sold in packages containing seven pieces. How many packages of gum will he need to buy this week?
7. Apply the rules of order of operations to solve the following problems.
52 – 6 × 7 = ?
108 ÷ 9 × 5 = ?
(54 + 42) ÷ 12 =?
183 – [(12 + 7) × 4] = ?
8. Chan wants to buy a used car that costs $8,500. He took out a loan for the cost of the car, and his payments are $209 per month for four years. At the end of four years, how much more than the car’s original price will he have paid? (Remember, there are twelve months in one year.)
9. Linda commutes a total of 54 miles to and from work every day. She needs a new car, and good gas mileage is important to her. She’s considering two models. The first model averages 30 miles per gallon, and the second averages 27 miles per gallon. How many gallons of gas will she save in a five-day work week if she buys the first car instead of the second car?
10. A waitress earned the following tips during one hour: $4.50, $3.00, $5.00, and $3.75. She gave each of the two busboys working with her $2.50. In addition to tips, the restaurant pays her $4.25 per hour. How much did she earn during that one hour of work?
11. Juan went out to lunch with five friends. They decided to divide the bill evenly among them. Juan estimated that his lunch cost $5.25. The entire bill came to $37.20. Would Juan’s lunch have cost more or less if he paid for it separately? How much more or less?
Answer:
try this!!
1. 14
2. 8
3. 48
4. 318
5. 23
6. 4
7. a) 10 b) 60 c) 8 d) 107
8. $1,532
9. 1
10. $15.50
11. .95
Step-by-step explanation:
Answer:
1. 14
2. 8
3. 48
4. 318
5. 23
6. 4
7. a) 10 b) 60 c) 8 d) 107
8. $1,532
9. 1
10. $15.50
11. .95
Step-by-step explanation:
Penn Foster
Given the function f(x) = 4 - 2x: If the domain is {-4,0, 5), find the range.
A)
{-4, 4,-6)
B)
{-4, 4, 14)
C)
{12, 4, -6}
D)
{12, 4, 14)
Answer:
C) -4,4,-6
Step-by-step explanation:
domain is x so plug the domain numbers into the function
4-2(-4)=12
4-2(0)=4
4-2(5)=-6
Therefore Range is (-4,4,-6)
Find the area of the shaded sector. PLZ HELP!:)
Answer:
Area of whole circle, i.e. 360 degrees = π(8.91)(8.91) = 79.3881 sq. cm
Area of 1 degree = 0.2205225 sq.cm.
Area of 81 degrees = 17.8623225 sq.cm.
The area of the shaded sector is about 16.77 cm2.
We are given that;
The radius=8.91
Now,
Surface area are derived for some standard shapes like circle, triangle, parallelogram, rectangle, trapezoid, etc.
When some shape comes which isn't standard figure, then we find its area by slicing it (virtually, like by drawing lines) in standard shapes. Then we calculate those composing shapes' area and sum them all.
Thus, we have:
[tex]\text{Area of composite figure} = \sum (\text{Area of composing figures})[/tex]
That ∑ sign shows "sum"
To find the area of the shaded sector, we need to use the formula:
[tex]$A = \frac{\theta}{360} \times \pi r^2$[/tex]
where [tex]\theta[/tex] is the central angle in degrees, and r is the radius of the circle.
Plugging in the given values, we get:
[tex]$A = \frac{81}{360} \times \pi (8.91)^2A \approx 16.77 \text{ cm}^2$[/tex]
Therefore, by the area answer will be 16.77 cm2.
Learn more about the area;
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Order the numbers from greatest to least 0.7 0.007 1.7 0.17
Answer:
1.7,0.7,0.17,0.007 is the answer
Choose the description that matches the inequality. x < 1
The description that matches the inequality x < 1 is:
All the points to the left of x = 1 are part of the solution, and there is an open interval at x = 1.
What is the description of the inequality?The values that are less than a number a in the number line are the values to the left of a.
Hence, for the inequality x < 1, we have that:
All the points to the left of x = 1 are part of the solution
Additionally, since the inequality signal is < and not ≤ 1, x = 1 is not part of the inequality, meaning that there is an open interval at x = 1.
More can be learned about inequalities at https://brainly.com/question/11613554
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Zach has a basic cell phone plan that does not include texting. He is going to add a texting package to his cell phone plan. He has two choices of texting packages, A and B. Package A charges $0.15 per text with no monthly fees for the texting package. Package B charges $0.10 per text, but has a $10 monthly fee for the texting package. Write an equation that represents the total cost for each texting package if any amount of texts are sent. Be sure to define the variables you are using for your equation.
Answer:
bababoeybababoey
Step-by-step explanation:
Answer: STUPID
Step-by-step explanation:
what is the solution 12r=-1-7e
Find a slope of a line that passes through (2,4) and (1,7)
Answer:
- 3Step-by-step explanation:
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1}\\[/tex]
From the question we have
[tex]m = \frac{7 - 4}{1 - 2} = - \frac{3}{1} = - 3 \\ [/tex]
We have the final answer as
- 3Hope this helps you
Which equations are true?
Choose all answers that apply:
Α)
-X = -x + 3 +0
B)
-X = 0 +(-x)
с)
None of the above
Answer:
B
Step-by-step explanation:
Any value of x would make the equation true.
If Katarina runs at a pace of 5 mph, how many miles can she run in 4 hours? A. 22 miles B. 20 miles C. 21 miles D. 19 miles
Answer:
20 miles
Step-by-step explanation:
Answer:
b
Step-by-step explanation: