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Amiraneli [1.4K]
2 years ago
11

martin uses 5/8 of a gallon of paint to cover 4/5 of a wall. what is the unit rate at which martin paints in walls per gallon?

Mathematics
1 answer:
sergeinik [125]2 years ago
7 0
So there are 5/8 gallons and 4/5 walls to cover, so the wall/gallon rate will just be 45 ÷ 5/8.

\bf \cfrac{\quad \frac{4}{5}~wall\quad }{\frac{5}{8}~gallon}\implies \cfrac{4}{{5}}\cdot \cfrac{8}{{5}}\implies \cfrac{32}{25}~\cfrac{wall}{gallon}\implies 1.28~\frac{wall}{gallon}
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Mr. mole left his burrow that lies 7 meters below the ground and started digging his way deeper into the ground, descending at a
Dimas [21]

Answer:

f(t)=-\frac{3}{2}t-7

Step-by-step explanation:

We know that:

  • The initial conditions are -7 meters at 0 minutes.
  • Then, after 6 minutes, he was 16 meters below the ground.

According to these two simple facts we can found the linear function that describes this problem. First, the problem says that Mr. Mole is descending at a constant rate, which is the slope of the function. Now, to calculate the slope we need to points, which are (0;-7) and (6;-16), where <em>t-values </em>are minutes, and <em>y-values </em>are meters. You can see, that the first point is the initial condition and the second point is 6 minutes later.

So, we calculate the slope:

m=\frac{y_{2}-y_{1}}{t_{2}-t_{1}} \\m=\frac{-16-(-7)}{6-0}=\frac{-16+7}{6}=\frac{-9}{6}=\frac{-3}{2}

From the slope we can see that Mr. Mole is descending, because it has a negative sign. Also, the point (0;-7) is on the <em>y-axis</em>, because <em>t</em> is null, so -7 is part of the function. Therefore the function that describes this problem is:

f(t)=-\frac{3}{2}t-7

7 0
2 years ago
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Measure and record all eight angles formed between the transversal EF and the parallel lines AB and CD. Place the label of each
almond37 [142]

Answer:

EHC=131.19

EHD=48.81

CHG=48.81

DHG=131.19

HGA=131.19

HGB=48.81

AGF=48.81

BGF=131.19

Step-by-step explanation:

This is exactly from Plato

6 0
2 years ago
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Liam had \$250$250dollar sign, 250. Then, he and his classmates bought a present for their teacher, evenly splitting the \$p$pdo
Nostrana [21]

Answer: 250- 9/24

p

​

250, minus, start fraction, p, divided by, 24, end fraction dollars left.

Step-by-step explanation:

Liam had \$250$250dollar sign, 250. Then, he and his classmates bought a present for their teacher, evenly splitting the \$p$pdollar sign, p cost among the 242424 of them.                                                                                                                  

3 0
2 years ago
Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two sides of this t
musickatia [10]
The sum of the other 2 sides must be greater than 13. 

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the population of Ketcham high school has been decreasing by 5 % per year.if it's population is currently 2600 which of the foll
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5% = .05
2600 x .05 = 130
130 x 2 = 260
2600 - 260 = 2340

The population will be 2340 people.
6 0
1 year ago
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