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vivado [14]
3 years ago
7

A yogurt costs 55p. How many yogurts can be bought for three pounds?

Mathematics
1 answer:
Arturiano [62]3 years ago
7 0
300 divided by 55 = 5.45
It’s 5 since it’s the whole number
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Triangle Angle Sum and Exterior angle theorem Worksheet answers
mr_godi [17]
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8 0
2 years ago
At the park, 4/7 of the children are boys. if there are 8 boys at the park, how many are girls?
Oksana_A [137]
There are 4/7 boys, so there are 3/7 girls.

Let the total number of children be x.

4/7x = 8
1/7x = 8 ÷ 4
1/7x = 2
3/7x = 2 x 3
3/7x = 6

There are 6 girls.
4 0
3 years ago
Read 2 more answers
A rope is tied to the bottom of a hot air balloon as shown below. The rope makes an angle of 35 degrees with the ground distant
Serjik [45]
We have a right triangle. We know the hypotenuse (75 ft) and an angle of 35°. We need to find the opposite leg to the angle of 35° (h). The trigonometric function that relates the opposite leg to an angle with the hypotenuse is sine:
sin 35° = (Opposite leg to 35°) / hypotenuse
sin 35° = h/(75 ft)

Solving for h:
(75 ft) sin 35°=h
h=75 sin 35° ft
h=75 (0.573576436) ft
h=43.01823270 ft
h=43 ft

Answer: T<span>he bottom of the balloon is 43 ft from the ground</span>
8 0
3 years ago
Given: A, B, and C What is the value of X in the matrix equation AX + B = C?
Ksju [112]

Answer:

Option (2)

Step-by-step explanation:

Given expression is, AX + B = C

A=\begin{bmatrix}-3 & -4\\ 1 & 0\end{bmatrix}

B=\begin{bmatrix}-7 & -9\\ 4 & -1\end{bmatrix}

C=\begin{bmatrix}-42 & -20\\ 5 & 4\end{bmatrix}

AX + B = C

AX = C - B

C - B = \begin{bmatrix}-42 & -20\\ 5 & 4\end{bmatrix}-\begin{bmatrix}-7 & -9\\ 4 & -1\end{bmatrix} = \begin{bmatrix}-42+7 & -20+9\\ 5-4 & 4+1\end{bmatrix}

C - B = \begin{bmatrix}-35 & -11\\ 1 & 5\end{bmatrix}

Let  X=\begin{bmatrix}a & b\\ c & d\end{bmatrix}

AX = \begin{bmatrix}-3 & -4\\ 1 & 0\end{bmatrix}\times \begin{bmatrix}a & b\\ c & d\end{bmatrix}

     = \begin{bmatrix}(-3a-4c) & (-3b-4d)\\ a & b\end{bmatrix}

Since AX = C - B

\begin{bmatrix}(-3a-4c) & (-3b-4d)\\ a & b\end{bmatrix}=\begin{bmatrix}-35 & -11\\ 1 & 5\end{bmatrix}

Therefore, a = 1, b = 5

(-3a - 4c) = -35

3(1) + 4c = 35

3 + 4c = 35

4c = 32

c = 8

And (-3b - 4d) = -11

3(5) + 4d = 11

4d = -4

d = -1

Therefore, Option (2). X = \begin{bmatrix}1 & 5\\ 8 & -1\end{bmatrix} will be the answer.

7 0
3 years ago
Zachary used the calculations shown to find how much he would spend on 16 ounces of pistachios.
maw [93]

Answer:

He made a math error

Step-by-step explanation:

6 ounces of pistachios cost $7.50

take 7.50 / 6=1.25 per ounce  ( not .80 per ounce)

Then 1.26 * 16 = 20.00 for 16 ounces

8 0
2 years ago
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