Answer:
tall candles = 39
Short candles = 52
Step-by-step explanation:
let tall candles be x
and short candles be y
No. Of candles sold = x + y =91
Money made from candles will be equal to = 8x + 5y = $572
These both are simultaneous linear equations.
x + y =91 ( multiply by 5)
5x + 5y = 455
8x + 5y = $572
Subtract them:
-3x = -117
x = -117/3
x = 39
put value of x in
x + y = 91
39 + y = 91
y = 91 - 39
y = 52
x shows tall candles so they are 39
y shows short candles so they are 52
Answer:
8 ounces of vinegar
36 ounces of dressing
Step-by-step explanation:
Marco makes his famous salad Jackson by mixing 5 1/4 ounces of olive oil with 1 1/2 ounces of vinegar.
Olive oil Vinegar
5 1/4 1 1/2
28 x
Write a proportion:
![\dfrac{5\frac{1}{4}}{28}=\dfrac{1\frac{1}{2}}{x}\\ \\5\dfrac{1}{4}\cdot x=28\cdot 1\dfrac{1}{2}\ [\text{Cross multiply}]\\ \\\dfrac{21}{4}x=28\cdot \dfrac{3}{2}\\ \\\dfrac{21 x}{4}=42\\ \\x=42\div \dfrac{21}{4}\\ \\x=42\cdot \dfrac{4}{21}\\ \\x=2\cdot 4\\ \\x=8\ ounces](https://tex.z-dn.net/?f=%5Cdfrac%7B5%5Cfrac%7B1%7D%7B4%7D%7D%7B28%7D%3D%5Cdfrac%7B1%5Cfrac%7B1%7D%7B2%7D%7D%7Bx%7D%5C%5C%20%5C%5C5%5Cdfrac%7B1%7D%7B4%7D%5Ccdot%20x%3D28%5Ccdot%201%5Cdfrac%7B1%7D%7B2%7D%5C%20%5B%5Ctext%7BCross%20multiply%7D%5D%5C%5C%20%5C%5C%5Cdfrac%7B21%7D%7B4%7Dx%3D28%5Ccdot%20%5Cdfrac%7B3%7D%7B2%7D%5C%5C%20%5C%5C%5Cdfrac%7B21%20x%7D%7B4%7D%3D42%5C%5C%20%5C%5Cx%3D42%5Cdiv%20%5Cdfrac%7B21%7D%7B4%7D%5C%5C%20%5C%5Cx%3D42%5Ccdot%20%5Cdfrac%7B4%7D%7B21%7D%5C%5C%20%5C%5Cx%3D2%5Ccdot%204%5C%5C%20%5C%5Cx%3D8%5C%20ounces)
Marco will make
ounces of dressing
Answer:
7t
Step-by-step explanation:
Answer:
12 cm x 15 cm
Step-by-step explanation:
if the picture frame thickness is x,
then the frame dimension would be (8+2x) cm by (11+2x) cm
area is (8+2x)(11+2x)=180
solve for x, x= 2, -23/2
x is thickness, so should be >0, so x=2
frame dimension: 12 x 16
