4.
For each equation, find a value for x that makes the equation true. Show your work on the next
page.
a.
x=3 = 12
b.
2x + 3 = 20
4
10
C.
d.
- 4x = -24
e.
2(x – 4) = 10
-0.5x + 1.1 = -2.9
f.

Answer:

[tex]b = \dfrac{A}{h}[/tex]

Step-by-step explanation:

Given the formula for calculating the area of the rectangle as;

A = bh where;

b is the length of the base of the rectangle, and;

h is the height of the rectangle

Required

Make b the subject of the formula

Given

[tex]A = bh\\\\divide \ both \ sides \ by \ h\\\dfrac{A}{h} = \dfrac{bh}{h}\\ \dfrac{A}{h} = b\\Re-arrange;\\b = \dfrac{A}{h}[/tex]

Hence the value of b in terms of A and h is expressed as [tex]b = \dfrac{A}{h}[/tex]

Answer:

7.68h

38.4 + 7.68h

Step-by-step explanation:

Earnings per hour = $7.68

This week Kaley worked 5 more hours than Tom in overtime

h = number of hours Tom worked.

Tom's total earnings for the week = earnings per hour × number of hours

= $7.68 × h

= 7.68h

Tom's total earnings for the week = 7.68h

Kayley's total earnings for the week = earnings per hour × number of hours

He works 5 hours more than Tom in overtime.

Tom = h

Kayley = 5 + h

Kayley's total earnings for the week = earnings per hour × number of hours

= (7.68) × (5 + h)

= 38.4 + 7.68h

Kayley's total earnings for the week =

38.4 + 7.68h

Answer:kara Had $17-$12. Pizza cost =leave u with $5 x.50=10topping

Step-by-step explanation:

Answer:

false cause if they both were added it would be 2/9ths

Step-by-step explanation:

answer:

JUST READ EXPLANATION!!!

Step-by-step explanation:

well, 1/3 divided by 3 =1/9

Answer:

o very easy hahaha I should tell step by step or shortcut

Answer:

23

Step-by-step explanation:

m∠A=cos⁻¹(35/38) = 22.91954215

round your answer to the nearest tenth.

23 degrees is the measure of the indicated angle in the triangle.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

The given triangle is a right angled triangle.

The side lengths of triangle are 35 and 38.

We have to find the measure of the angle opposite to the right angle.

By using cosine function formula we calculate it.

CosA=Adjacent side/Hypotenuse

CosA=35/38

m∠A=cos⁻¹(35/38)

= 22.91954215

Hence, 23 degrees is the measure of the indicated angle.

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Given:

Principal value = $640

Rate of interest = 3.9% not compounded

Number of years = 8

To find:

The amount after 8 years.

Solution:

It is given that the interest is not compounded. It means, we need to find simple interest.

Formula for simple interest:

[tex]I=P\times r\times t[/tex]

where, P is principal, r is rate of interest and t is time in years.

Put P=640, r=0.039 and t=8.

[tex]I=640\times 0.039\times 8[/tex]

[tex]I=199.68[/tex]

So, the interest is $199.68.

Now, amount after 8 years is

[tex]A=P+I[/tex]

where, P is principal and I is interest.

[tex]A=640+199.68[/tex]

[tex]A=839.68[/tex]

Therefore, the amount after 8 years is $839.68.

Answer:

3.5 pounds for 14 people

Step-by-step explanation:

Given

1 pound = 4 people

Required

Determine the pounds for 14 people

Represent this with x; so, we have:

[tex]1\ pound = 4\ people[/tex]

[tex]x = 14\ people[/tex]

Cross Multiply

[tex]x * 4 = 1 * 14[/tex]

[tex]4x = 14[/tex]

Solve for x

[tex]x = 14/4[/tex]

[tex]x = 3.5[/tex]

Hence, 3.5 pounds for 14 people

Answer:

b

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

1/5 of 30 is 6 or 30/5. 1/2 of 30 is 15 or 30/2. 6+15=21. 30-21=9

Answer:

6.5

Step-by-step explanation:

You can see that the total Coast change from Month 0 to Month 2 by 13$ (35-22= 13). Since these are two month we need to divide them by 2 (13/2= 6.5)

6.5 is the total rate of change per months

Answer:

y = 9(2 - x)/4

Step-by-step explanation:

1.) Subtract 9x from both sides.

4y = 18 - 9x

2.) Divide both sides by 4.

y = 18 - 9x/4

3.) Factor out the common term 9.

y = 9(2 - x)/4

My words:

Hope this helps you and let me know if you need help again, also have a blessed day or night, also could I have brainliest for this?

The y intercept of the equation of the line  4y+9x=18 is 4.5.

For the given question,

The equation of the line is given as;

4y+9x=18

Write the equation in slope intercept form.

y = mx + c

Where, m is the slope and c is the y intercept.

4y = -9x + 18

y = -9x/4 + 9/4

y = -9x/4 + 4.5

Comparing with the standard form, y intercept is found as 4.5.

Thus, the y intercept of the equation of the line  4y+9x=18 is 4.5.

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Answer:

16k

Step-by-step explanation:

k=3log2

k=(48\16) log2

16k= 48log2

16k=log2 48

Numbers can be expressed in logarithms.

The value of [tex]\mathbf{log_248}[/tex] is [tex]\mathbf{k + 4}[/tex]

The expressions are given as:

[tex]\mathbf{k = log_23}[/tex]

[tex]\mathbf{log_248}[/tex]

Express 48 as 3 * 16

[tex]\mathbf{log_248 = log_2(3 \times 16)}[/tex]

Split

[tex]\mathbf{log_248 = log_2(3) + log_2(16)}[/tex]

Express 16 as 2^4

[tex]\mathbf{log_248 = log_2(3) + log_2(2^4)}[/tex]

Rewrite as:

[tex]\mathbf{log_248 = log_2(3) + 4log_22}[/tex]

In logarithms:

[tex]\mathbf{log_aa = 1}[/tex]

So, we have:

[tex]\mathbf{log_248 = log_2(3) + 4(1)}[/tex]

[tex]\mathbf{log_248 = log_2(3) + 4}[/tex]

Substitute [tex]\mathbf{k = log_23}[/tex]

[tex]\mathbf{log_248 = k + 4}[/tex]

Hence, the value of [tex]\mathbf{log_248}[/tex] is [tex]\mathbf{k + 4}[/tex]

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Answer:

0.41

Step-by-step explanation:

because its 0.41 it cant be reduced or messed with so your answer is 0.41

Answer:

8, -2

Step-by-step explanation:

Answer: 8.223in less rain fell today.

Step-by-step explanation:

38in. - 29.777in. = 8.223in

Answer:

its answer is in high school is ten

Answer:

10 to the power of 7 is 10000000 and 10 to the power of three is 1000 making ten to the power of seven 10000 times bigger

Step-by-step explanation:

Answer:

b=12.20

Step-by-step explanation:

its asking for a triangle. there are two legs (the straight sides) and a hypotenuse*.( the slanted one) the formula for finding a missing side is a2+b2=c2. (squared) then you plug in your numbers. and c2 is always the slanted side while a and b are the legs. Sorry this was late tho.

Answer:

if it how long it will it take to pay her friend back its 135 weeks

Step-by-step explanation:

Answer:

346380

Step-by-step explanation:

hope you gwt an a

Answer:

10 pounds of raisins and 10 pounds of peanuts.

Step-by-step explanation:

Let c represent the pounds of chocolate covered raisins.

Let p represent the pounds of peanuts.

We know that the raisins cost $1.50 per pound and the peanuts cost $1.20 per pound.

Ameenah wants to make 20 pounds of a mixture of the raisins and peanuts that sells for 1.35 a pound. So, we can write the following expression:

[tex]1.5c+1.2p[/tex]

This represents the cost given c pounds of raisins and p pounds of peanuts.

Ameenah wants to combine c and p to make them 1.35 per pound. In other words, the expression must equal:

[tex]1.5c+1.2p=1.35(c+p)[/tex]

We also know that she wants to make 20 pounds. So, c plus p must total 20. Therefore:

[tex]c+p=20[/tex]

We now have the system of equations:

[tex]\left\{ \begin{array}{ll} 1.5c+1.2p=1.35(c+p) \\ c+p=20\end{array}[/tex]

First, since we know that c+p is 20, we can substitute that into the first equation.

Second, let's subtract p from both side for the second equation to isolate a variable. So:

[tex]c=20-p[/tex]

Let's now substitute this into the first equation:

[tex]1.5(20-p)+1.2p=1.35(20)[/tex]

Distribute:

[tex]30-1.5p+1.2p=27[/tex]

Combine like terms:

[tex]-0.3p+30=27[/tex]

Subtract 30 from both sides:

[tex]-0.3p=-3[/tex]

Divide both sides by -0.3. So, the amount of peanuts needed is:

[tex]p=10[/tex]

10 pounds of peanuts is needed.

This means that 20-10 or 10 pounds of raisins is needed.

Answer:

10 pounds of both raisins and peanuts.

Step-by-step explanation:

Answer:

The distance from the point to the line is approximately 3.2 units

Step-by-step explanation:

Distance From a Point to a Line

Is the shortest distance from a given point to any point on an infinite straight line. The shortest distance occurs when the segment from the point and the line are perpendiculars.

If the line is given by the equation ax + by + c = 0, where a, b and c are real constants, the distance from the line to a point (x0,y0) is

[tex]\displaystyle d= \frac{|ax_0+by_0+c|}{\sqrt{a^2+b^2}}[/tex]

The line is given by the equation:

y=3x. We need to transform it into the specified form.

Subtracting 3x:

y - 3x = 0

Comparing with the general form of the line, we have

a=-3, b=1, c=0

The point (xo,yo) is (-1,7), thus:

[tex]\displaystyle d= \frac{|-3\cdot (-1)+1\cdot 7+0|}{\sqrt{(-3)^2+1^2}}[/tex]

[tex]\displaystyle d= \frac{|3+7|}{\sqrt{9+1}}[/tex]

[tex]\displaystyle d= \frac{|10|}{\sqrt{10}}[/tex]

[tex]\displaystyle d= \frac{10}{\sqrt{10}}[/tex]

[tex]d\approx 3.2[/tex]

The distance from the point to the line is approximately 3.2 units

Answer:

m<1

Step-by-step explanation:

If the expression is in the form of [tex]ax^2+bx+c[/tex], then the condition for having 2 different real roots is

[tex]b^2-4ac>0\cdots(i)[/tex].

The given expression is [tex]x^2-2x+m[/tex].

Here, a=1, b=-2 and c=m.

So, by using equation (i),

[tex](-2)^2-4(1)(m)>0[/tex]

[tex]\Rightarrow 4-4m>0[/tex]

[tex]\Rightarrow 4m<4[/tex]

[tex]\Rightarrow m<4/4[/tex]

[tex]\Rightarrow m<1[/tex].

Hence, the condition for the expression [tex]x^2-2x+m[/tex] to have two different real roots is m<1.

Answer: b= -4

Step-by-step explanation: