A math test is worth 100 points and has 30 problems.
Each problem is worth either 3 points or 4 points.
How many 4-point problems are there?

How do i change this into an algebraic expression

Answer:

[tex] 10 \: {units}^{2} [/tex]

Step-by-step explanation:

Area of triangle

[tex] = \frac{1}{2} \times base \times height \\ \\ = \frac{1}{2} \times 4 \times 5 \\ \\ = 2 \times 5 \\ \\ = 10 \: {units}^{2} [/tex]

Answer:

henry gets 231

Step-by-step explanation:

my head

Answer:

231

Step-by-step explanation:

Let's consider that Gavin got X pounds.

Then Henry gets 3 times as much as Gavin => 3X

And Mark gets twice as much as Henry => 2 * 3X

Together they get 770, so:

X + 3X + 2*3X = 770

10X = 770  =>  X = 77

As we mentioned, Henry gets 3X, so

3X = 3 * 77 = 231

Answer:

I believe 31 dollars and 95 cents

Step-by-step explanation:

Marie would earn $37.2 in 4 1/2 hour.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas. This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Marie charges a $10.75 base fee for each dog she walks,

and, additional $7.10 per hour that she walks the dog.

Each day she spends $5.50 on dog treats.

So, if Marie works for 4 1/2 hour then she can earn

= 10.75 + 4 1/2 x 7.1 - 5.5

= 10.75 + 4.5 x 7.1 - 5.5

= $37.2.

Hence, Marie would earn $37.2.

Learn more about Unitary Method here:

https://brainly.com/question/22056199

#SPJ2

Answer:

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Answer:

1 mango = 11 dollars

1 apple = 13 dollars

Step-by-step explanation:

Let [tex]a[/tex] be equal to the cost of an apple.

Let [tex]m[/tex] be equal to the cost of a mango.

1) Create equations

An apple costs $2.00 more than a mango.

⇒ [tex]m+2=a[/tex] (the cost of a mango + 2 dollars = cost of an apple)

The total cost of three apples and a mango is $50.00.

⇒ [tex]3a+m=50[/tex] (3 apples*the cost of 1 apple + cost of 1 mango = 50 dollars)

2) Solve for m and a

[tex]3a+m=50[/tex]

Substitute a with [tex]m+2[/tex]

[tex]3(m+2)+m=50\\3m+6+m=50\\4m+6=50[/tex]

Subtract both sides by 6

[tex]4m+6-6=50-6\\4m=44[/tex]

Divide both sides by 4

[tex]\frac{4m}{4}=\frac{44}{4} \\m=11[/tex]

Therefore, the cost of 1 mango is 11 dollars.

[tex]m+2=a[/tex]

Substitute m with 11 to solve for a

[tex]11+2=a\\13=a[/tex]

Therefore, the cost of 1 apple is 13 dollars.

I hope this helps!

Answer:

6) x = 36°, y = 18°

7) z = 7°

Step-by-step explanation:

6) 2x + 3x = 180°

5x = 180°

x = 36°

4y = 2x = 72°

y = 18°

7) 2z + 4 = 4z - 10

2z = 14

z = 7

Answer:

5x-3= x=5-3= 2=2x

then, 6×2x =12x

Answer:

1.x=20

<L=37

Step-by-step explanation:

(x+8)+(2x-3)+(6x-5)=180

x+8+2x-3+6x-5=180

9x-8+8=180

9x=180

x=180/9

x=20

<L=2x-3

<L=2*20-3

<L=40-3

<L=37

Answer:

2

Step-by-step explanation:

Add 4.2 to both sides

x = 2

Answer: Your answer would be D:)  g(x) = 5x – 10

Answer:

See below

Step-by-step explanation:

If you graphed x-2=5, you would see a vertical line crossing the point x=7, as shown in the graph because 7-2=5.

Answer:

sqrt65, or 8.06225775

Step-by-step explanation:

390/6=65

sqrt65=8.06225775

Answer:

-1

Step-by-step explanation:

2(3+2x)=10

6+4x=10

6-10=4x

-4=4x

x=-1

Answer:

6 percent?

Step-by-step explanation:

.

Answer:

251.33

Step-by-step explanation:

have a good day! :)

Answer:

wrong

Step-by-step explanation:

Answer:

- 2x - 1

Step-by-step explanation:

[tex]g(x)=x-3 \\ f(x) = -2x + 2 \\ g(f(x)) = ( - 2x + 2) - 3 \\ g(f(x)) = - 2x + 2 - 3 \\ g(f(x)) = - 2x - 1[/tex]

Answer:

A,B,C

Step-by-step explanation:

I did it

Answer:

the answers are a b and c

Step-by-step explanation:

i just did it on edge haha

Answer:

a) (x + 14) + 3x = 90

b) m<1 = 33 degrees

m<2 = 57 degrees

Step-by-step explanation:

a) as we can see, the measure of angle 1 added to the measure of angle 2 will give 90 degrees

Mathematically, we have this as;

m<1 + m<2 = 90

Using the values of the angles given, we have it that;

(x + 14) + (3x) = 90

x + 14 + 3x = 90

4x + 14 = 90

4x = 90-14

4x = 76

x = 76/4

x = 19 degrees

b) if x = 19; then ;

m<1 = (19 + 14) = 33 degrees

m<2 = 3(19) = 57 degrees

Answer std

Step-by-step explanation:

being a grimy bic

Answer:

D) 42.4

Step-by-step explanation:

a² + b² = c² -----> a² + 15² = 45²

45² - 15² = a² ----->  2025 - 225 = 1800²

42.426406.... ----> D) 42.4

Answer:B, C, D

Step-by-step explanation:

I did the USATESTPREP

Answer:

Length of beads altogether in the necklace = 3.75 cm

Step-by-step explanation:

Length of the beads used in a necklace = [tex]\frac{5}{4}[/tex] cm

Number of beads used in the necklace = 3

Therefore, length of beads in the necklace = Length of each bead × Number of beads used

= [tex]\frac{5}{4}\times 3[/tex]

= [tex]\frac{15}{4}[/tex]

= 3.75 cm

Length of the beads altogether in the necklace = 3.75 cm

Answer:

6 x 3 x 1 = 18

4 x 8 x 3 = 96

18 + 96 = 114 ft cube

Answer:

1514 feet

Step-by-step explanation:

We solve using the trigonometric function of Sine

sin θ = Opposite/ Hypotenuse

θ = Angle of depression = 53°

Opposite = Vertical height = 1209 feet

Hypotenuse = x =??

Hence,

sin 53 = 1209 feet/x

Cross Multiply

sin 53 × x = 1209 feet

x = 1209 feet/ sin 53

x = 1513.8320107 feet

Approximately = 1514 feet

Therefore, the distance Lisa must ski to reach the lodge is 1514 feet

Answer:

18 inches

Step-by-step explanation:

Step-by-step explanation:

Let the number of psychology books be 'x'.

and that of sociology books be 'y'.

x + y = 317 (given)

Number of sociology books sold was 89 less than that of psychology books.

y = x - 89

Which means,

x + x - 89 = 317

2x = 317 + 89

2x = 406

x = 406/2 = 203

y = 203 - 89 = 114

Hence, 203 psychology books and 114 sociology books were sold.

Answer:

1 notebook cost $2.27

Step-by-step explanation:

Multiply the unit cost of the pencils by how many pencils you have : ( 1.29*3 = 3.87)

Subtract this from the total cost ( 10.68 - 3.87 = 6.81)

Divide this by 3 since there are 3 notebooks

6.81 / 3 = $2.27

Answer:

2.27

Step-by-step explanation:

have a good day

Answer:

Part A: option C

Part B: option B

Step-by-step explanation: