Nicole is half as old as Donald. The sum of their ages is 72.
How old is Nicole, in years?

Answer:

mA=56 degrees

Step-by-step explanation:

Complementary angles adds up to 90 degrees. This imply that

[tex](7x+28)+(8x+2)=90[/tex]

From this equation, we can find x:

[tex]15x+30=90\\15x=90-30\\15x=60\\x=\frac{60}{15}\\x= 4[/tex]

Now, we can substitute the value for x into the angle mA:

[tex]mA=(7*4+28)\\mA=(28+28)\\mA=56[/tex]

Answer

Associative property of addition

Step-by-step explanation:

Answer:

The height of the pile is increasing at a rate of 1.78 ft/min

Step-by-step explanation:

As we can see, we have the rate at which the volume is increasing

Mathematically, the volume of a cone can be calculated by the formula;

1/3 * π * r^2 * h

but here, we are dealing with base diameter which is d

and r is d/2

So we have the formula as;

1/3 * π * (d/2)^2 * h

since h is same as d for this particular cone, we can replace d with h so that we now have;

1/3 * π * h^3/4

= πh^3/12

what we have in the question is dv/dt

what we want to calculate is dh/dt

Mathematically;

dh/dt = dh/dv * dv/dt

dh/dv is 1/dv/dh

dv/dh = πh^2/36 where h = 15

dv/dh = 225 π/36

dh/dv is now;

36/225π

So, finally;

dh/dt = 36/225 π * 35

dh/dt = 1.78 ft/min

The result as a fraction of 2 will be 58/2

Fractions are ratio of two integers. For instance, the ratio of a to b is expressed as a/b

Given the expression 4x4x2-4, this can be further expressed as:

4x4x2-4

= (4^2*2) - 4

= (16 * 2) - 4

= 32 - 4

= 28

Expressing the result as a fraction of 2 will be 58/2

Learn more on indices here: https://brainly.com/question/10339517

Answer:

they are not the same line, nor are they parallel or perpendicular

Step-by-step explanation:

they are two distinct lines and intersect at (-5.4, -0.4) if graphed

If you put each equation into slope-intercept form you can compare slopes to determine if they are parallel (slopes would be the same) or perpendicular (slopes would be opposite signs and reciprocals)

Answer:

the ratio of the following x is 3/4

Answer:

B

Step-by-step explanation:

They are similar by the definition of similarity in terms of a dilation.

Two figures must have congruent (equal) comparable angle measures and proportional sides in order to be considered similar. Dilations produce comparable numbers because adding the scale factor produces proportional sides while keeping the angle measurement and form constant.

Given

In GHI ,

GH = 3cm [using distance formula]

HI = 5.65 cm

GI = 6 c

In JKL,

JK = 2.2361 cm

KL = 2.8284 cm

JL = 3 cm

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Answer:

2

Step-by-step explanation:

this is you're answer please thanks me

Answer:

B

Step-by-step explanation:

Let the width be x, and the length be y

xy = 50

y = 2x

2x^2 = 50

x^2 = 25

x = 5

y = 10

3*8 = 24

Answer:

B

Step-by-step explanation:

Let the width be x, and the length be y

xy = 50

y = 2x

2x^2 = 50

x^2 = 25

x = 5

y = 10

3*8 = 24

Answer: Vertical Line

Step-by-step explanation:

Answer: -10

Step-by-step explanation:

If you put it in an equation it would be -7x=7(x+20). You would then -7x to both sides to get -14x=140. Just divide -14 on both sides to isolate x. This equates to -10. If you put -10 back into the equation then it says that 70 is 7 times larger than 10. Which it is.

Answer:

Richard's cumulative GPA = 2.5

Step-by-step explanation:

Richard's cumulative GPA for 3 semesters was 2.0 for 42 credits.

Average = 2

Total credits = 42

Average = sum of terms/total no of terms

2 = sum of terms/42

sum of terms = 84 ....(1)

His fourth semester GPA was 4.0 for 14 course units

Average = 4

Total credits = 14

sum of terms = 56 .....(2)

Average for 4 semesters,

[tex]A=\dfrac{84+56}{42+14}\\\\A=2.5[/tex]

Hence, Richard's cumulative GPA for all 4 semesters is 2.5.

Answer:

The third book cost $9.03

Step-by-step explanation:

Answer:

the 3rd book is 9.03

Step-by-step explanation:

all you have to do is add 8.33 + 7.33 and thate 15.66 so 24.69 - 15.66 is 9.03

Answer:

2,3,5,7,11,13

Step-by-step explanation:

the prime divisors of 10 are 2 and 5.

while the first six prime numbers are 2,3,5,7,11,13

Answer:

58

Step-by-step explanation:

Answer:

it just takes longer

Step-by-step explanation:

you count by 1 from 100 until 1000

Answer:

It just take more time.

Step-by-step explanation:

The more 0's the more you count

Answer:63%

Step-by-step explanation:

if 2years=25%loss

Then 5years=5/2×25%

=62.5%~63%

Answer:

After a year, your car's value decreases to 81% of the initial value. After two years, your car's value decreases to 69% of the initial value. After 3 years, your car's value decreases to 58% of the initial value.

Answer:

13

Step-by-step explanation:

Take 18 minus 5 and the answer is 13.

Answer:

First one x=2 y=7 (2,7)

second one top right x=-2

Mid left: x=-5 and y=9 (-5,9)

mid right: x=4 and y=−1 (4,-1)

Bottom left: x=6 and y=−2 (6,-2)

Bottom Right: x=−4 and y=−5 (-4,-5)

Step-by-step explanation:

IM GOING LEFT TO RIGHT FROM UP TO DOWN

1. 2x+y=11

7x=14

rewrite them like this

7x=14;2x+y=11

solve for 7x=14

7x=14

x=2

Substitute 2 for x in 2x+y=11

(2)(2)+y=11

y+4=11

y=7

2. −7x=14;9x+8y=6

9x+8y=6

-7x=14

fist solve for x

x=-2

Then substitute in first equation

y=3

3. 6x+4y=6;3x=−15

6x+4y=6

3x=-15

solve for x

x=-5

Then plug in and solve

(6)(−5)+4y=6

4y=36

y=9

4. 7x+4y=24;4x=16

same process solve for x and plug in

x=4 and y=−1

5.  5x+8y=14;4x=24

same process

x=6 and y=−2

6. x-5y=21;-6x=24

same process solve for x and plug it in

x=−4 and y=−5

Hope this helps

Answer:

0.0239

Step-by-step explanation:

[tex]H_0;\mu=\sigma[/tex]

[tex]H_a;\mu>6[/tex]

[tex]\bar{x}=6.08[/tex] = Mean

[tex]s=0.44[/tex] = Standard deviation

[tex]n=121[/tex] = Sample size

Test statistic is given by

[tex]\dfrac{\bar{x}-\mu}{\dfrac{s}{\sqrt{n}}}=\dfrac{6.08-6}{\dfrac{0.44}{\sqrt{121}}}\\ =2[/tex]

From T table we know it is a right tailed test.

Degree of freedom = [tex]n-1=121-1=120[/tex]

[tex]P(t>2)=1-P(t<2)\\\Rightarrow P(t>2)=1-0.9761\\\Rightarrow P(t>2)=0.0239[/tex]

Hence, p-value is 0.0239.

Answer:

You never said how much money belle's dad had in the first place there not enough information

Step-by-step explanation:

(10 + 15) - x

Answer:

43.2

Step-by-step explanation:

so you would multiply 36 by .20 or .2 and you would get a answer so you add it to your original amount

Answer:

The answer to this problem would be A.

Step-by-step explanation:

For childcare facilities for each visit is $9, we would say 9x because we dont know the exact amount of time that she visits the gym with her child. Her monthly gym bill is $32 which would ve added to the amount she would pay for childcare. The sum of it all should be less than or equal to that of $122.

Answer:

A. 9x + 32 ≤ 122

Step-by-step explanation:

$32 is the fixed monthly due

$9 everytime she uses childcare

$122 is the maximum she wants to spend This month.

32 + 9x ≤ 122

Answer:

44

Step-by-step explanation:

Well if you see the picture

triangle 1 has an area of

[tex]\frac{3*4}{2}=6[/tex]

triangle 2 has an area of

[tex]\frac{3*4}{2}=6[/tex]

rectangle 3 has an area of

[tex]8*3=24[/tex]

and triangle 4 has an area of

[tex]\frac{2*8}{2}=8[/tex]

if we add then up

[tex]6+6+24+8=44[/tex]

Answer:

b=-0.0019a + 215

at 2500 ft, b=210.25 degrees F

Step-by-step explanation:

First find the slope. a=altitude, b = temperature

slope is b2-b1 / a2-a1

points are (8200, 199.42) and (4700, 206.07)

(206.07 - 199.42) / (4700-8200)

= 6.65/ -3500

= - 0.0019

we have b = -0.0019a + intercept

plug in a point to find intercept

199.42 = -0.0019*8200 + intercept

intercept = 199.42 + 15.58 = 215

b=-0.0019a + 215

at a=2500 ft, substitute into equation

b= -0.0019*2500 + 215

= -4.75 + 215

= 210.25 degrees F

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