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RoseWind [281]
3 years ago
8

Question 17 of 26 ashley is making cookies. the recipe calls for three-fourths of a cup of sugar. she needs to make five batches

of cookies. how many cups of sugar does ashley need?
a. 3 cups
Mathematics
1 answer:
gayaneshka [121]3 years ago
5 0
3/4 × 5 = 3 3/4.
Hence, she needs 3 3/4 cups of sugar to bake five batches of cookies.
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Choose the expression that represents a quadratic expression. 9x − 2 5x2 + 9x − 1 −2x3 + 8x2 − 7x + 1 x4 − 12x3 + 8x2 − 7x + 1
elena-s [515]

Answer:

5 {x}^{2}  + 9x - 1

Step-by-step explanation:

A quadratic expresion is of the form

a {x}^{2}  + bx + c

where

a \ne0

The give options are:

9x-2

5{x}^{2}+9x - 1

-2x^3+8 {x}^{2}  -7x +1

x^4-12x^3+8 {x}^{2}  -7x +1

From the given options, the only expression which is quadratic is

5 {x}^{2}  + 9x - 1

where a =5, b=9 and c=-1

Therefore the correct choice is the second option.

3 0
4 years ago
Solve the given system of equations utilizing either the substitution or addition method.
Nataly [62]

Answer:

Value of x=4 and y=-13/3

Step-by-step explanation:

We need to solve the systems of equations

5x+3y=7 \ and \ \frac{3}{2}x-\frac{3}{4}y =9\frac{1}{4}

Solving using substitution method:

Let:

5x+3y=7---eq(1) \\ \frac{3}{2}x-\frac{3}{4}y =9\frac{1}{4}---eq(2)

Find value of x from eq(1) and put in eq(2)

5x+3y=7\\5x=7-3y\\x=\frac{7-3y}{5}

Put value of x in eq(2)

\frac{3}{2}(\frac{7-3y}{5}) -\frac{3}{4}y =\frac{37}{4}\\\frac{21-9y}{10} -\frac{3}{4}y =\frac{37}{4}\\Taking \ LCM\\\frac{21*2-9y*2-3y*5}{20}  =\frac{37}{4}\\\frac{42-18y-15y}{20}  =\frac{37}{4}\\42-33y=\frac{37}{4}*20\\42-33y=185\\-33y=185-42\\-33y=143\\y=\frac{143}{-33}\\y=-\frac{13}{3}

Now, finding value of x by putting value of y in eq(1)

x=\frac{7-3y}{5}\\x= \frac{7-3(-\frac{13}{3}) }{5}\\x=\frac{7+13}{5}\\x=\frac{20}{5}\\x=4

So, Value of x=4 and y=-13/3

4 0
3 years ago
I would like to create a rectangular vegetable patch. The fencing for the east and west sides costs $4 per foot, and the fencing
loris [4]
The answer to this question:
<span>north and south sides 16ft
east and west sides 8ft
</span>
In this question, the east and west fencing cost is $4/ft but the south and north fencing cost is $2/ft. The cost is cheaper for fencing north and south side which cost half of the east and west side. The perimeter is made by adding the south, north, east and west side.
If x = north and south fencing and y= is east and west side, then you can get this equation

cost= (south+north) * $2 + (east+west)*$4  
128=(x+x) * 2 + (y+ y) * 4
128= 4x + 8y
32= x+ 2y
x= 32-2y

The area is count by multiplying the width and length, which was x and y in this question. The formula should be:
area= length * width
area= x * y
area= (32-2y) * y
area= 32y - 2y^2

Then, you need to find the value of y needed for the maximum area.
32y- 2y^2 
32 - 2*2y=0
32= 4y
y= 8

If y=8 then
x= 32-2y
x= 32- 16= 16
6 0
3 years ago
your classmate says he can write the equation of a quadratic function that passes through the points (3,4), (5,-2),and (3,0). Ex
Citrus2011 [14]
He can't write the equation because slope can't pass through x=3 twice.
In this case, (3,4) and (3,0). There can't be two exact same value in a slope. 
4 0
3 years ago
The area of a rectangle is 525 square centimeters. The ratio of the length to the width is 8/3 3. Find the length and the width.
borishaifa [10]
The answer is b i just took the quiz
4 0
3 years ago
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