Seventh grade
M.1 Add, subtract, multiply, and divide money amounts: word problems HGN
You have prizes to reveal
A high-tech company came out with two new MP3 players this week. It costs $465 for the
model with more memory or $107 for the one with less memory. What is the price
difference?
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Answer: It is linear

Answer:

Simplifying

5x = 95

Solving

5x = 95

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '5'.

x = 19

Simplifying

x = 19

Step-by-step explanation:

Answer:

AC = 49

Step-by-step explanation:

Using the Altitude - on - Hypotenuse theorem

(leg of large Δ )² = (part of hypotenuse below it ) × (whole hypotenuse)

BC² = DC × AC, substitute values

14² = 4 × x

196 = 4x ( divide both sides by 4 )

49 = x

Thus AC = x = 49

Step-by-step explanation:

pythogoream theorem.(hyp^2=opp^2+adj^2)

hyp=14 adg=4 opp=?

since we have to find opp

opp^2=hyp^2-adj^2

opp^2=14^2-4^2

196-16=180

[tex] \sqrt{180} [/tex]

BD= 13.41

(Q as theta)

sinQ= opp÷hyp

= 13.41÷14

Q=sin^-1(13.4÷14)

Q=73.33

cosQ=adj(AD)÷hyp(BC)

cos 73.33× 14 =adj

AD=4.01

Therefore, AC =AD +DC(4.01+4)

=8.01

I am not sure....but I got this much

Answer:

42x - 9 = 35x + 12

42x - 35x = 12 + 9

7x = 21

x = 3

Answer:

Each angle = 117

Step-by-step explanation:

Parallel lines cut by a transversal have only 2 possible answers for each angle. The two answers are supplementary to each other. These two angles are obtuse (both of them) so they are equal.

42x - 9 = 35x + 12         Add 9 to both sides

42x = 35x + 12 + 9        Combine

42x = 35x + 21              Subtract 35x from both sides

42x - 35x = 21               Combine

7x = 21                           Divide by 7

x = 21/7

x = 3

That's not the answer

42x - 9

42*3 - 9

126 - 9

117

Answer:

(x + 9)(x - 1)

Step-by-step explanation:

First, set the equation equal to zero by subtracting 4 from both sides:

x² + 8x - 5 = 4

x² + 8x - 9 = 0

Then, find two factors of -9 that add to 8.

These factors are the numbers 9 and -1.

Then, using these factors, put the equation in factored form:

x² + 8x - 9 = 0

(x + 9)(x - 1) is the factored equation

Answer:

Step-by-step explanation:

E

Answer:

$120

Step-by-step explanation:

Answer:

you're right!! its C

Step-by-step explanation:

For lines to be perpendicular, the multiplied slopes of the line need to be -1, so

y=1/3x-1

y=-3x-4

(1/3)*(-3)=-1

therefore, they are perpendicular

Answer:

9.433981

Step-by-step explanation:

d=(−2−6)2+(−6−(−1))2−−−−−−−−−−−−−−−−−−−−−√  

d=(−8)2+(−5)2−−−−−−−−−−−−√

d=64+25−−−−−−√

d=8–√9

d=9.433981

Answer:

There are 37 natural numbers between 34 and 72.

There are 25 whole numbers between -2 and 25.

Step-by-step explanation:

1. Natural numbers between 34 and 72

2. Whole numbers between -2 and 25

1.35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71.

2.0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24.

Final Answer: [tex]4.69[/tex]

Steps/Reasons/Explanation:

Step 1: You will need to find the perfect square root of a number that is less than [tex]22[/tex]. So [tex]4^{2}[/tex] is [tex]16[/tex].

Step 2: Write down the square root of [tex]16 = 4[/tex].

Step 3: Solve [tex]\frac{22 - 16}{4 * 2}[/tex] which is [tex]0.75[/tex].

Step 4: Add [tex]4 + 0.75 = 4.75[/tex], so [tex]\sqrt{22}[/tex] is approximately ≈[tex]4.7[/tex].

~I hope I helped you :)~

Answer:

Hope this helps

Step-by-step explanation:

Answer:

Say it out loud like 93/and 75 hundrenths you count the denominators place and since it has two you say hundrenths.

Answer:

93 3/4

Step-by-step explanation:

93.75 = 93.75/1

93.75/1 × 100/100 = 9375/100

9375 ÷ 25 / 100 ÷ 25 = 37/54

93 3/4

93.75 = 93 3/4

Answer:

-2, 3/7, 1/2, 1.2

Step-by-step explanation:

Increasing == least to greatest in value.

-2 = -2

3/7 = 0.429

1/2 = 0.5

1.2 = 1.2

Answer:

40 centimeters

Step-by-step explanation:

Step-by-step explanation:

a=binod b=binod c= binod

6x - 8 = 2x - 10

This is the equation

Answer:

10 + 5x

Explanation:

5 times a number x is going to be 5x.

The sum of 10 and 5x will be them added together which is 10 + 5x

Answer:

4 hours

Step-by-step explanation:

1/12 time what equals 1? 12 so do it to the other equation and simplify 12/3 to get 4.

Answer:

you should simply distribute it 4x -24y that mean you should × 4 by x and 4by 6y then you will get the answer

Answer:

the answer is y, I just took the test

Step-by-step explanation:

Using Difference of Squares,

16y⁴ - 256x¹²

= 16(y⁴ - 16x¹²)

= 16(y² + 4x⁶)(y² - 4x⁶)

= 16(y² + 4x⁶)(y + 2x³)(y - 2x³).

Step-by-step explanation:

Answer:

the answer is 4!!!!!!!!!!!!!!

Answer:

4

Step-by-step explanation:

LOL

Answer:

21

Step-by-step explanation:

solved it

Answer:

The sample statistics follows a standard normal distribution since the sample size are large enough.

Step-by-step explanation:

Given that:

First population:

Sample size [tex]n_1[/tex] = 49

Population standard deviation [tex]\sigma_1[/tex]  = 3

Sample mean [tex]\overline x _1[/tex]= 10

Second population:

Sample size [tex]n_2[/tex] = 64

Population standard deviation [tex]\sigma_2[/tex]= 4

Sample mean [tex]\overline x_2[/tex]= 12

The sample statistics follows a standard normal distribution since the sample size are large enough.

The null and alternative hypotheses can be computed as:

[tex]\mathbf{H_o:\mu_1=\mu_2}[/tex]

[tex]\mathbf{H_1:\mu_1\ne\mu_2}[/tex]

Level of significance  = 0.01

Using the  Z-test statistics;

[tex]Z = \dfrac{\overline x_1 - \overline x_2}{\sqrt{\dfrac{\sigma_1^2}{n_1} + \dfrac{\sigma_2^2}{n_2}}}[/tex]

[tex]Z = \dfrac{10- 12}{\sqrt{\dfrac{3^2}{49} + \dfrac{4^2}{64}}}[/tex]

[tex]Z = \dfrac{-2}{\sqrt{\dfrac{9}{49} + \dfrac{16}{64}}}[/tex]

[tex]Z = \dfrac{-2}{\sqrt{0.18367 +0.25}}[/tex]

[tex]Z = \dfrac{-2}{\sqrt{0.43367}}[/tex]

[tex]Z = \dfrac{-2}{0.658536}[/tex]

Z = - 3.037

Z [tex]\simeq[/tex] - 3.04

The P-value = 2P (z < -3.04)

From the z tables

= 2 × (0.00118)

= 0.00236

Thus, since P-value is less than the level of significance, we fail to reject the null hypotheses [tex]H_o[/tex]

Answer:

6 cm, 8 cm, 12cm

Step-by-step explanation:

Answer: 3,969

Step-by-step explanation:

multiply 140x28.35

Answer: 28 hours and 5 min

Step-by-step explanation:

So there are 60 min in hour so the fourmula would be 60x=1683 and when you solve you get 28.05