Answer:
yes
Step-by-step explanation:
Answer:
2. Cecilia uses 3 cups of flour for 36 cookies
4. Cecilia is making 3/4 of the original recipe
Step-by-step explanation:
Recipe for 48 cookies
Flour = 4 cups
Sugar = 1 1/3 cups
Recipe for 36 cookies
48 cookies : 36 cookies
= 4 : 3
Flour used in 36 cookies = x cups
Flour used in 48 cookies = 4 cups
4 cups : x cups
4 : 3 = 4 : x
4/3 = 4/x
4*x = 3*4
4x = 12
x = 12/4
x = 3 cups
Sugar = 1 1/3 cups
Sugar used in 36 cookies = y cups
Sugar used in 48 cookies = 1 1/3 cups
4 : 3 = 1 1/3 : y
4/3 = 4/3 ÷ y
4/3 = 4/3 × 1/y
4/3 = 4/3y
4*3y = 3*3
12y = 9
y = 9/12
= 3/4
y = 3/4
The true statement are:
2. Cecilia uses 3 cups of flour for 36 cookies
4. Cecilia is making 3/4 of the original recipe
Answer:
The first equation must be multiplied by -5 to eliminate x variable by addition
Step-by-step explanation:
4 x - 3 y = 1 (1)
5 x + 4 y = 9 (2)
If the second equation is multiplied by 4
5x+4y=9. ×4
We have,
20x+16y=36 (3)
The first equation should be multiplied by -5 to eliminate x variable by addition
4x-3y=1 × -5
We have
-20x+15y=-5 (4)
Add equation (3) and (4) to eliminate x variable
20x+16y=36
-20x+15y=-5
31y=31
Divide both sides by 31
y=1
Substitute y=1 into equation (1)
4 x - 3 y = 1
4x-3(1)=1
4x-3=1
4x=1+3
4x=4
Divide both sides by 4
x=1
Answer:
C) The figures are congruent.
Step-by-step explanation:
Given
Translation and rotation on a figure
Required
Select the true option
Rotation and translation are rigid transformation and as such they do not change the size of the figure being transformed.
The implies that, the figure being transformed and the resulting figure will have the same dimension and the same angle measure.
<em>(c) is correct</em>
Answer:
y= 11/2 x+1/2
Step-by-step explanation:
Slope Intercept form: y = mx + b where m = slope of the line, b = y intercept and (x,y) are coordinate points on the line.
To put this in slope-intercept form, you need to solve the equation for y
-11x + 2y = 1
<u>+11x +11x</u> add 11x to both sides of the equation
<u>+2y</u> = <u>1 + 11x</u>
2 2 Divide both sides by 2 (so y is by itself)
y = 11/2x + 1/2
