Answer:
70 apples
Step-by-step explanation:
We can use a ratio to solve
7 apples x apples
-------------- = -------------
50 name 500 names
Using cross products
7 * 500 = 50x
Divide by 50
7 * 500/50 = 50x/50
70 =x
Answer:
Step-by-step explanation:
<u>Marta made a mistake at step 1</u>
- 4 log₅ x = log₅ 4x - wrong
- 4 log₅ x = log₅ x⁴ - correct
<u>Property to be used </u>
Answer:
Monica's age = 34 years
Her daughter's age = 10 years
Step-by-step explanation:
Let Monica's age = x
Let her daughter'sage = y
x + y = 44 -------> equ 1
After 2 years:
Monica's age = x + 2
Her daughter's age = y + 2
x + 2 = 3 * (y+2)
x + 2 = 3y + 6
x = 3y + 6 -2
x = 3y + 4
Put x value in equ 1:
3y + 4 + y = 44
4y = 44 - 4
4y = 40
y = 40/4
y = 10
x = 44 -10
x = 34
Answer:
11 boys walk to school each day
Step-by-step explanation:
<em>*The following will be assumed: the only genders of students in the class are male or female; the only options for getting to school are walking or not walking</em>
If there are 32 students in the class total, and there are 15 boys,
32 - 15 = 17
there are 17 girls.
If 8 of these girls do not walk to school,
17 - 8 = 9
9 girls walk to school
So, if 20 total students walk to school, and 9 of those are girls
20 - 9 = 11
11 boys walk to school each day.
Answer:
D. Dilate rectangle A by a scale factor of 3 with the center of dilation at the origin and rotate it 90° clockwise about the origin.
Step-by-step explanation:
The coordinates of triangle A are (-2,1) , (1,1), (1,-1) and (-2, -1) while that of triangle B are (-3, 6), (3, 6), (3, -3) and (-3, 3).
To transform A to be we need a combination of two transformations, and that is dilation and rotation.
If A is dilated by a scale factor three through the origin as the center of dilation and then rotated through 90° clockwise with the origin as the center of origin, then rectangle B will be obtained.
