All categories

2 years ago

Write and simplify the equation you would use to solve the problem below.

Mathematics

1 answer:

charle [14.2K]2 years ago

5 0

Answer:

4w + 10 = 116

Step-by-step explanation:

Call the width w.

The length is 5 more than that, so the length is w + 5

Perimeter is 2w + 2l

2w + 2(w+5) = 116

Distribute the 2 to the values in the parentheses.

2w + 2w + 10 = 116

Combine like terms

4w + 10 = 116

You might be interested in

Greg receives the following scores on his math tests: {90, 83, 78, 95}. What is the minimum score he needs on the last math test

BARSIC [14]

Answer:

Step-by-step explanation:

the total of 90, 83, 78, 95= 346 which averages to 86.5

346+79=425

425/5= 85

4 0

3 years ago

Find an equation for the line that passes through the point P(-5,-3) and is parallel to the line

Aneli [31]

-------------------------------------------------------------------------------------------------------------

Answer: $\textsf{y = -1.75x - 11.75}$

-------------------------------------------------------------------------------------------------------------

Given: $\textsf{Goes through (-5, -3) and parallel to 7x + 4y = 10}$

Find: $\textsf{The equation in slope-intercept form}$

Solution: We need to first solve for y in the equation that was provided so we can determine the slope. Then we plug in the values into the point-slope form, distribute, simplify, and solve for y to get our final equation.

Subtract 7x from both sides

$\textsf{7x - 7x + 4y = 10 - 7x}$

$\textsf{4y = 10 - 7x}$

Divide both sides by 4

$\textsf{4y/4 = (10 - 7x)/4}$

$\textsf{y = (10 - 7x)/4}$

$\textsf{y = 10/4 - 7x/4}$

$\textsf{y = 2.5 - 1.75x}$

Plug in the values

$\textsf{y - y}_1\textsf{ = m(x - x}_1\textsf{)}$

$\textsf{y - (-3) = -1.75(x - (-5))}$

Simplify and distribute

$\textsf{y + 3 = -1.75(x + 5)}$

$\textsf{y + 3 = (-1.75 * x) + (-1.75 * 5)}$

$\textsf{y + 3 = -1.75x - 8.75}$

Subtract 3 from both sides

$\textsf{y + 3 - 3 = -1.75x - 8.75 - 3}$

$\textsf{y = -1.75x - 8.75 - 3}$

$\textsf{y = -1.75x - 11.75}$

Therefore, the final equation in slope-intercept form that follows the information that was provided is y = -1.75x - 11.75

4 0

2 years ago

Pick all the names for this shape.

AURORKA [14]

Answer:

c) square

d) quadrilateral

Step-by-step explanation:

→ It is not a rectangle as in a rectangle, the sides are the not the same

→ It is not a parallelogram because a parallelogram does not have 90° angles

4 0

3 years ago

Read 2 more answers

Soft drink consumption in New Zealand. A survey commissioned by the Southern Cross Healthcare Group reported that 16% of New Zea

lidiya [134]

<h2>Answer with explanation:</h2>

Given : The proportion of New Zealanders consume five or more servings of soft drinks per week : $\hat{p}= 0.16$

a) The number of survey respondents reported that they consume five or more servings of soft drinks per week = 2006

b) Confidence interval for population proportion (p) :

$\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

, where $\hat{p}$ = Sample proportion.

n= Sample size.

z* = Critical value.

For n= 2006 , $\hat{p}= 0.16$ and critical value for 95% confidence interval : z* = 1.96

Then , the required confidence interval will be :

$0.16\pm (1.96)\sqrt{\dfrac{ 0.16(1- 0.16)}{2006}}$

$0.16\pm (1.96)\sqrt{ 0.000066999002991}$

$0.16\pm (1.96)(0.00818529186963)$

$0.16\pm 0.0160431720645$

$(0.16-0.0160431720645,\ 0.16+0.0160431720645)$

$(0.143956827935,\ 0.176043172064)\approx(0.144,\ 0.176)$

i.e. A 95% confidence interval for the proportion of New Zealanders who report that they consume five or more servings of soft drinks per week. = $(0.144,\ 0.176)$