5x+2y=-10 -3x - 2y=6 Solve by elimination I’m confused

Find the area of the triange below units given are cm, cm^2, cm^3

notsponge [240]

Answer:

$A=150\ cm^2$

Step-by-step explanation:

The Hypotenuse of triangle, H = 25 cm

Base = 15 cm

Height = 20 cm

We need to find the area of the triangle. The area of a right-angled triangle is given by :

$A=\dfrac{1}{2}\times b\times h\\\\A=\dfrac{1}{2}\times 15\times 20\\A=150\ cm^2$

So, the area of the triangle is equal to $150\ cm^2$ .

4 0

2 years ago

Your family goes to a Southern-style restaurant for dinner. There are 7 people in your family. Some order the chicken dinner for

butalik [34]

Answer:

a) 4 people ordered streak dinner

b) 3 people ordered chicken dinner

Step-by-step explanation:

Let the number of people that ordered steak dinner be x

and the number of people that ordered chicken dinner be y

From the question,

There are 7 people in your family

Hence, we can write that

x + y = 7 ...... (1)

Also from the question

Some order the chicken dinner for $13 and some order the steak dinner for $18 and the total bill was $111.

We can then write that

13y + 18x = 111 ...... (2)

From equation (1)

x + y = 7

Then,

x = 7 - y ...... (3)

Put this into equation (2)

13y + 18x = 111

13y + 18(7 - y) = 111

13y + 126 - 18y = 111

-5y = -15

5y = 15

y = 15 / 5

y = 3

Put the value of y into equation (3) to get x

x = 7 - y

Then

x = 7 - 3

x = 4

Hence, 4 people ordered streak dinner

and 3 people ordered chicken dinner

a) 4 people ordered streak dinner

b) 3 people ordered chicken dinner

3 0

2 years ago

A scale drawing of a school bus has a scale of 12 inch to 5 feet. If the length of the school bus is 412 inches on the scale dra

Thepotemich [5.8K]

Answer:

actual length = 171.67 ft.

Step-by-step explanation:

scale of school bus drawing is 12 in. to 5 ft.

if the length of a school bus drawing is 412 in.

5 ft

the actual length is = 412 in x --------

12 in

actual length = 171.67 ft.

7 0

2 years ago

jocelyn mowed a lawn that is 722 1/2 square yards. Her brother mowed a lawn that is 842 18/25 square yards. How many square yard

cricket20 [7]

Together they mowed 1565 11/50 square yards. You have to make the fractions have same denominators so you can add, after fixing the denominators, just add.

7 0

2 years ago

Spencer sampled 50 students of a private school who were questioned about their scores in Mathematics. Spencer wants to test the

pickupchik [31]

Answer:

C) 3.03

Step-by-step explanation:

Step(i):-

Given sample size 'n' = 50

The Mean of the population (μ) = 62

The standard deviation of the Population (σ) = 7

Mean of the sample(x⁻) = 65

Z-score

$Z= \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }$

Step(ii):-

$Z= \frac{65 -62}{\frac{7}{\sqrt{50} } }$

Z = 3.03

Final answer:-

The Z-score = 3.03

6 0

3 years ago