Answer:
x-intercept = -6 y-intercept = 9
Step-by-step explanation:
The <em><u>correct answers</u></em> are:
7 mugs on each shelf; and 7 shelves for blue and 8 shelves for red.
Explanation:
To find the number of mugs that will fit on each shelf, we find the GCF (greatest common factor) of 49 and 56. To do this, we find the prime factorization of each:
49 = 7(7)
56 = 7(8)
8 = 2(4)
4 = 2(2)
56 = 2(2)(2)(7)
The only common factor is 7, so this is the GCF. This means that she needs to put 7 mugs on each shelf.
Since there are 49 blue mugs, she needs 49/7 = 7 shelves for them.
Since there are 56 red mugs, she needs 56/7 = 8 shelves for them.
X=number of boys
y=number of girls.
We can suggest the following system of equations:
x+y=33
x/y=3/8
We solve this system of equations by substitution method.
x/y=3/8 ⇒x=3y/8
(3y/8)+y=33
least common multiple=8
3y+8y=33*8
11y=33*8
y=(33*8)/11
y=3*8
y=24
x+y=33
x+24=33
x=33-24
x=9
number of boys /total number of students=9/33=3/11
There are 9 boys and 24 girls in the class.
Answer: C: 9. since 3/11 of the students are boys.
Answer:
$3003.2
Step-by-step explanation:
Step 1
Paso 1
Averiguamos cuánto era el 25% de sus ahorros.
Se nos dice en la pregunta que gastó el 33.3% en decoraciones para su nueva casa y si los adornos cuestan $ 250.00.
Esto significa
33.3 % × x = 250
33.3 x/ 100 = 250
Cruz multiplicar
33.3x = 250 × 100
x = 25.000 / 33.3
x = 750.75075075
Por lo tanto, la cantidad o el costo de los adornos = 33.3% del 25% de sus ahorros = $ 750.8
Paso 2
De la pregunta:
Un joven retira el 25% de sus ahorros y
Por lo tanto:
Sea y = monto total de sus ahorros
25/100 × y = $ 750.8
25y = 100 × 750.8.
y = 100 × 750.8 / 25
y = $ 3003.2
Por lo tanto, tenía $ 3003.2 en su cuenta.
