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3 years ago

10

Lila is making 1 4 of a recipe for a bake sale. The original recipe calls for 2 3 cups of sugar. How much sugar does Lila need t

o complete her recipe? A) 1 12 B) 1 6 C) 2 24 D) 2 7

1 answer:

Vika [28.1K]3 years ago

3 0

Answer: 1/12...?

Step-by-step explanation:

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Jacob is cutting strips from a foot-long piece of wood for his woodworking class. He needs a strip of wood that is

sdas [7]

Answer:

8 piece shaded for the first one one

2 piece shaded for the second one

Step-by-step explanation:

You said 9/8 so 8 pieces shaded out of 9

You said 2/4 so 2 piece shaded out of 4

4 0

2 years ago

Peter works as a delivery person for a bike shipping company. The graph shows a linear model for his

evablogger [386]

Answer/Step-by-step explanation:

a. Using a point on the graph, (6, 12), and the slope of the line, we can first generate an equation in the point-slope form, given as $y - b = m(x - a)$ , where,

m = slope, and (a, b) is a point on the line.

Using two points, (6, 12) and (3, 21), let's find slope, m.

$slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{21 - 12}{3 - 6} = \frac{9}{-3} = -3$

Using a point (6, 12) and slope, m = -3, generate an equation in the point-slope form by substituting a = 6, b = 12, and m = -3 in $y - b = m(x - a)$ .

✅Equation in point-slope form would be:

$y - 12 = -3(x - 6)$

Rewrite this to make it be in the slope-intercept form, $y = mx + b$ .

$y - 12 = -3(x - 6)$

$y - 12 = -3x + 18$

Add 12 to both sides

$y = -3x + 18 + 12$

$y = -3x + 30$

✅The equation in slope-intercept form is $y = -3x + 30$

b. ✍️Based on the linear model, $y = -3x + 30$ , the 30 represents b = y-intercept.

✅Therefore, it took Peter 30 mins long initially to deliver his package.

✍️Based on the linear model, $y = -3x + 30$ , "-3" represents the slope.

✅Therefore, Peter's delivery time decreased 3 mins per day.

6 0

3 years ago

Question 8 (2 points)

SashulF [63]

Answer:

$\mathbf{x=\frac{1}{2}}$ is the solution to the equation: $4x+12-8x=-1+2x+10$

The statement is true.

Option A is correct.

Step-by-step explanation:

We need to determine if $x=\frac{1}{2}$ is the solution to the equation: $4x+12-8x=-1+2x+10$

Solving the equation first to find value of x

$4x+12-8x=-1+2x+10$

Combining like terms:

$4x-8x+12=2x+10-1\\-4x+12=2x+9$

Subtracting 2x on both sides

$-4x+12-2x=2x+9-2x\\-4x-2x+12=9\\-6x+12=9$

Now, subtracting 12 on both sides

$-6x+12-12=9-12\\-6x=-3\\$

Divide both sides by -6

$\frac{-6x}{-6}=\frac{-3}{-6}\\x=\frac{1}{2}$

So, we get $\mathbf{x=\frac{1}{2}}$

Therefore we can say that $\mathbf{x=\frac{1}{2}}$ is the solution to the equation: $4x+12-8x=-1+2x+10$

The statement is true.

Option A is correct.

6 0

2 years ago

Read 2 more answers

In the diagram, TC represents a vertical building. The points, A and B, are on the same level as the foot C of the building such

Alenkinab [10]

Answer:

(a) The height of the building is 60.06 m

(b) The distance AB is 139.43 m

Step-by-step explanation:

The given parameters are

Given that segment BT = segment AT + 29

By trigonometric ratios, we have;

cos∠ATC = CT/AT

cos∠BTC = CT/BT

Therefore, we have;

cos(40°) = CT/AT.................................(1)

cos(56°) = CT/BT = CT/(AT + 29).....(2)

cos(56°) = CT/(AT + 29)......................(3)

From equation (1)

CT = AT×cos(40°)

From equation (3)

AT×cos(56°) + 29 × cos(56°) = CT

Therefore;

AT×cos(40°) = AT×cos(56°) + 29 × cos(56°)

AT×cos(40°) - AT×cos(56°) = 29 × cos(56°)

AT×(cos(40°) - cos(56°)) = 29 × cos(56°)

AT = 29 × cos(56°)/(cos(40°) - cos(56°)) = 78.4 m

TC = CT = AT×cos(40°) = 78.4×cos(40°) = 60.06 m

The height of the building = 60.06 m

(b) BT = AT + 29 = 78.4 m + 29 m= 107.4 m

AB = AT×sin(∠ATC ) + BT×sin(∠BTC) = 78.4×sin(40°) + 107.4×sin(56°) = 139.43 m

The distance AB = 139.43 m.

6 0

3 years ago

What is the slope of the line that passes through ( 1, -19 ) and ( -2,-7

Lapatulllka [165]

Answer:

-4

Step-by-step explanation:

We can find the slope when given two points by using the following

m = (y2-y1)/(x2-x1)

= (-7--19)/(-2 -1)

= (-7+19)/(-2-1)

= 12/-3

=-4

3 0

3 years ago