In a weight-lifting contest, the winner bench-pressed 400 lbs. Other competitors lifted at least 23 lbs less. a. Write the inequality for their weights: x≤377.
b. Can someone lift 379 lbs? No, 379 lbs is not a solution to the inequality. Explain.
ASK YOUR TEACHER A contestant in a winter games event pushes a 41.0−kg block of ice across a frozen lake with a force of 25 N at 28.0∘ below the horizontal as shown in Figure (a) below, and it moves with an acceleration of 0.540m/s2 to the right.
(a)
(b)
(a) What is the normal force exerted by the lake surface on the block of ice?
□ N surface on the block of ite?
□
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Darin's great aunt lives in a retirement home. Darin visits her to help plant green beans in a garden. So far they have planted 6 rows with 72 green bean stalks. They plant the same number of green bean stalks in each row. What is the constant of proportionality in this relationship?
6
12
72
78
Ms. Driva Reck drove from her home to a service station at 48km/h. She returned home by bicycle at 16km/h. The entire trip took 4 hours. How far was the service station from Ms. Reck's home?
The tape diagram models the lengths of two snowboarding trails. The combined length of the trails is 2000 meters. How long is each trail?
Beginner Trail □
Expert Trail □ The beginner trail is □ meters. The expert trail is □ meters.
5. A number x is three less than twice y. When you add x multiplied by 4 and y, the sum is six. What are the values of x and y ? Equation 1: Equation 2:
3. Aysima, tanesi 2x+3 lira olan kitaptan 2 tane, tanesi 3x−4 lira olan kitaptan 3 tane almıştır. Buna göre Aysima bu alışverişte toplam kaç lira öder?
A) 13x−9
B) 13x−6
C) 13x−18
D) 13x+6
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Show Examples The perimeter of a rectangle is 204 centimeters. Find the length and width if the length is an even integer and the width is 3 times the next consecutive even integer. Answer Attempt 1 out of 2 Length = □ centimeters Width = □ centimeters
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What is the slope of the line that passes through the points (3,2) and (19,6) ? Write your answer in simplest form. Answer Attempt 1 out of 3
□
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^ Pretest: Unit 1 Question 1 of 29
What is the solution to the system of equations below?
2x+y−3z=−73x−y+4z=−17x+2y+2z=9
A. x=4,y=1,z=5
B. x=4,y=4,z=3
C. x=−5,y=6,z=1
D. x=−5,y=4,z=3
When discussing the key features of a linear graph, which of the following statements is true? (1 point)
The points will make a straight line.
The initial value is always zero.
The rate of change can vary along the graph.
The points always have positive values.
Which equation represents a line that is parallel to the line y=−32x+5 and passes through the point (9,−7) ? A y=−32x+1
B. y=−32x−1
C. y=−32x+13
D. y=−32x−13
Maria plans to attend college in 5 years. She will need $21,000 for the first-year cost. Her uncle gave her a special gift of $12,000 to use toward the cost. How much must Maria save each month to have enough for the first-year cost?
.5 □
8. A manufacturer makes two types of jet skis, single rider and multiple riders. The profit on a single-rider jet ski is $200 and the profit on the multi-rider jet ski is $250. To meet customer demand, the company must manufacture at least 50 single-rider jet skis and 75 multi-rider jet skis per week. To maintain high quality, the total number of both models manufactured by the company should not exceed 150 models per week. How many of each model should the company produce to maximize the profit?
6. Hakeem subtracted 8 from a number, then multiplied the difference by 54. The result was 20 . Write and solve an equation-to-find-tine number, x. Lesson 3-3
8.AR.2.1
Solve the inequality. Write the solution set in interval notation.
−5≤22m+8≤14 The solution set in interval notathen is □
(Type your answer in interval notation.)
XLL Graph a line from an equ
|x| com-math/grade-8/graph-a-line-from-an-equation-in-standard-form Graph this line using intercepts:
7x+y=−7
Click to select points on the graph.
Complete parts (a) through (h) for the data below.
\begin{tabular}{cccccc}
\hline x & -2 & -1 & 0 & 1 & 2 \\
\hline y & -3 & 0 & 1 & 4 & 5 \\
\hline
\end{tabular}
(a) By hand, draw a scatter diagram treating x as the explanatory variable and y as the response variable. Choose the correct scatter diagram below.
A.
B.
C.
D.
(b) Find the equation of the line containing the points (−1,0) and (1,4).
y=□x+(□)
(Type integers or simplified fractions.)
Keith has $400 in a savings account. The interest rate is 5% per year and is not compounded. How much will he have in total in 2 years? Use the formula i=prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
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David has $100,000 in a savings account that earns 4% interest per year. The interest is not compounded. How much interest will he earn in 3 years? Use the formula i=prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
15. A bakery sells loaves of sourdough bread for $15 and baguettes for $10. The owner wants at least $250 in sales today. Which inequality shows the number of loaves and baguettes that must be sold?
A) 15x+10y>250
B) 15x+10y<250
C) 15x+10y≥250
D) 15x+10y≤250
5) The senior classes at High School A and High School B planned separate trips to New York City. The senior class at High School A and High School B planned separes with 814 students. High School B rented School A rented and filled 13 vans and 14 buses willed 14 vans and 12 buses with 732 students. Each van and each bus carried the same num and filled 14 vans and 12 buses with 732 students. Each van and each bus.
bread company decides to give away free sandwiches across the country to p ew wheat bread. The company can spend up to $9,839 to buy the sandwiches. andwich costs the company $2, how many sandwiches will they be able to give
□ sandwiches
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Solve these linear equations and identify if they are inconsistent or identities. Reduce non-integer answers to simplest fractions.
(a) 7x+5=2x−35
(b) 3x−7=−5
(c) 4x+5=4x−1