Given :
Teresa is going to make 3 batches of cookies.
She needs 3/4 milk for each. Her measuring cup only holds 1/4 gallon.
To Find :
How many times will she need to fill up.
Solution :
Amount of milk need per batch, A = 3/4 gallon.
Measuring cup only holds, m = 1/4 gallon.
Number of times she need to fill up,
n = A/m = (3/4)/(1/4) = 3
Now, number of batches are three.
So, number of time she need to fill up in three batch.
[tex]N = n \times 3 \\\\N = 3 \times 3 \\\\N = 9[/tex]
Therefore, this is the required solution.
How many solutions does the following equation have?
5x + 8 - 7x = -4x + 1
Find the length of a diagonal of a square with a perimeter of 16.
Answer:
4√2
Step-by-step explanation:
If a square has a perimeter of 16, then its side lengths are 4.
Use the pythagorean theorem to find the diagonal.
4^2+4^2=c^216+16=c^232=c^2c=√32√32 can be simplified to 4√2.
The length of the diagonal of the square whose perimeter is 16 is 4√2
What is diagonal of the square?
The length of a diagonal is equal to the length of a side multiplied by the square root of 2
Given data ,
Let d be the diagonal of a square
Perimeter of square = 16
Perimeter of square = 4 x A
16 = 4 x A
A = 4
Therefore , diagonal of square is = 4√2
Hence ,The length of the diagonal of the square whose perimeter is 16 is 4√2
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(6x2 - 2x) + (5x-7)
A. 30x3 - 52x2 + 14x
B. 6x2 - 7x+7
c. 11x2 - 9x
D. 6x2 + 3x - 7
Answer:
The answer is D
Jenny used a total of 3 5/6 gallons of gas while driving her car. Each hour she was driving, she used 7/9 gallons of gas. What was the total number of hours she was driving?
Answer:
Jenny drove for about 4.93 hours
Step-by-step explanation:
Jenny uses 7/9 gallons of gas per hour.
She used a total of 3 5/6 gallons.
If x is the number of hours she drove, then she used 7x/9 gallons.
X* 7/9 = 3 5/6
3 5/6 can be converted to an improper fraction.
((3*6)+5) / 6 = 23/6 gallons
=> x * 7/9 = 23/6
=> x = (23/6) / (7/9)
=> x = (23/6) * (9/7)
=> x = 69/14
=> x = 4.928571429 hours.
The product of two consecutive positive integers is 1,332. Explain how you can write and solve a quadratic equation to find the value of the larger integer.
Answer:
The numbers can be written as x and x + 1. Set the product of the numbers equal to 1,332 to get x(x + 1) = 1,332. You can solve the quadratic equation by using the quadratic formula, completing the square, or factoring. When you solve the quadratic equation, you find that x = –37 and 36. Since the question asked for positive integers, the only viable solution is x = 36. To solve for the larger integer, you add 1 to 36 to get an answer of 37.
Step-by-step explanation:
sample response
The first consecutive number is 36 and the second consecutive number is 37.
What are the consecutive numbers?Numbers that follow each other continuously in the order from smallest to largest are called consecutive numbers.
Let the first consecutive number be x and the second consecutive number be (x+1).
The product of two consecutive positive integers is 1,332.
[tex]\rm x\times (x+1)=1332\\\\x^2+x=1332\\\\x^2+x-1332=0\\\\x^2+37x-36x-1332=0\\\\x(x+37)-36(x+37x)=0\\\\(x+37)(x-36)=0\\\\x+37=0, \ x=-37\\\\x-36=0, \ x=36[/tex]
(Ignoring the negative value of x).
The first consecutive number = x = 36
The second consecutive number = x+1 = 36 + 1 = 37
Hence, the first consecutive number is 36 and the second consecutive number is 37.
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No files no links or you’re going to get reported I’m giving 10 points so all I need is someone to help me
PLEASE HELP brainly will be given!
Answer:
SSS
Step-by-step explanation:
the corresponding sides of the triangles are proportional to each other
For which equation does it make the most sense to solve by using the zero product property? 4x2−2=15 2x2+2x−9=0 x² + 11x +30 = 0 x² + 2x = 119
Answer:
It makes more sense to apply the zero product property on x² + 11x + 30 = 0.
Step-by-step explanation:
The zero product property simply states that if ab = 0, then a = 0 or b = 0 or both are zeros.
Given 4x² – 2 = 15, 2x² + 2x – 9 = 0, x² + 11x + 30 = 0, x² + 2x = 119; let's see which of the above is easiest to apply the zero product property.
1. 4x² – 2 = 15
4x² – 2 – 15 = 0
4x² – 17 = 0
It's not so easy to express the result as a product equal to zero.
2. 2x² + 2x – 9 = 0
This is not factorisable easily and can't be expressed as a product equal to zero easily.
3. x² + 11x + 30 = 0
This is factorisable easily. On factorising we have:
x² + 5x + 6x + 30 = 0
(x + 5)(x + 6) = 0. The zero product property can be applied here easily since x = 5 or x = 6 or both.
4. x² + 2x = 119
x² + 2x – 119 = 0
This is not easily factorisable and cannot be expressed easily as a product equal to zero.
Therefore, it makes more sense to apply the zero product property on
x² + 11x + 30 = 0
Solve for all values of x by factoring.
x^2+10x+12=2x+5
Answer:
x = -1, -7
Step-by-step explanation:
=> x² + 8x + 7 = 0
=> (x + 1) (x + 7) = 0
=> x = -1, -7
can someone that is good at 7th grade math help me plzzzz
Answer:
-4 *-4 *-4
= 16*-4
= ANWSER
-9*-9
=81
Step-by-step explanation:
Mrs. Owens borrowed $50,000 to start a business. In the first two months, expenses amounted to $52,500, and sales came to only $2,500. How much money does Mrs. Owens have going into the third month?
Someone plz help me!
Answer:
srry if you still need this asnwer but here you go my grades
Step-by-step explanation:
One mile is approximately 1.6 kilometers. A speed limit sign in Europe reading 65 kph
(kilometers per hour) means you can go about how many miles per hour (mph)*
What is the sum?
Thank you!
Answer:
50 is the sum
Step-by-step explanation:
-10+20=10
10+-40=-30
-30+80=50
17 gallons = ? liters
Answer:
64.345
Step-by-step explanation:
1 gal=3.785
multiply 3.785 x 17
rewrite the formula A = 2pier(r+h)
Answer:
2pier = A x
Step-by-step explanation:
The equation for the perimeter around Claire's garden is a:
O Linear Function
O Exponential Function
O Quadratic Function
O Absolute Value Function
Answer:
Linear function
Step-by-step explanation:
Took da test ;)
The zookeeper find the lions in the zoo daily during the week the line graph shows the amount of meat in kilograms fair to the liens on each day of the week find the rate of change in the same amount of meat are fed to the alliance between Thursday and Friday
The changes is is the same amount of meat from Thursday to Friday is ___
Kilograms of meat
The rate of change is the same amount of meat from Thursday to Friday is 14 Kilograms of meat
Here, the line graph shows the amount of meat in kilograms fed to the lions on each day of the week.
From the line graph the amount of meat fed to the lines on Thursday is 58 kilograms
And the amount of meat fed to the lines on Thursday is 72 kilograms
Let x represents the rate of change in the amount of meat from Thursday to Friday.
So, the value of x would be,
x = 72 - 58
x = 14 kilograms
Thus, the rate of change in the same amount of meat are fed to the alliance between Thursday and Friday = 14 kilograms
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Solve the 4 letter code please I need it before midnight, it's not a word.
9514 1404 393
Answer:
EAGI
Step-by-step explanation:
Your choices are correct except for "B". Graph 3 has a dashed line, so the inequality symbol is <, not ≤.
MODELING WITH MATHEMATICS The backboard of the basketball hoop forms a right triangle with the supporting rods, as shown. Use the Pythagorean Theorem to approximate
the distance between the rods where they meet the backboard. Round your answer to the nearest hundredth
Mio calculated the volume in this way : V = 12 • 5
Explain what the 12 and 5 represent in the figure.
Question 1: Are the following two monomials multiplied correctly?
Yes or no
the surface area 5cm x 14cm x 6cm
Joshua invested $97,000 in an account paying an interest rate of 6% compounded
daily. Assuming no deposits or withdrawals are made, how much money, to the
nearest cent, would be in the account after 8 years?
Answer:
answer is 156753.03
Step-by-step explanation:
PLS ANSWER QUICK
A recipe for a batch of muffins calls for 1/3 cup of sugar, 3/4 cup of flour, and 1/2 cup of milk. How many total cups of sugar, flour, and milk will be needed for three batches of muffins?
NO LINKS I WILL REPORT
Answer:
1 cup of sugar, 2 1/4 cups of flour, and 1 1/2 cups of milk
Step-by-step explanation:
1/3 x 3= 3/3 =1
3/4 x 3= 2 1/4
1/2 x 3= 1 1/2
These all add up to 4 3/4 cups
i need help what is n?
Answer:
x=-7
Step-by-step explanation:
-30=5(x+1)
6-1(x+1)
x=-1-6
=-7
The answer is [tex]x=-7[/tex]
The Valley Central School District ordered 300 bagels for their spring faculty breakfast. They want 65% of the bagels to be plain. How many plain bagels should they order?
PLS HELP ASAP
Answer:
The answer to your question is 195
please answer :) I have 7 I need somebody to answer 8 it is a 2 part question!
Answer:
question 7 would be option 4 because its saying he has AT LEAST $5, which would mean he DOES have $5 or more. Which is why you would use the "more than or equal to" sign that was used in option 4.
question 8 would be option 1 because its a closed circle that includes the $5 and its going to the right.
Step-by-step explanation:
All of these have to be estimated using the chart shown^
1- 11% of 507
2-26% of 91
3-34% of 91
4-48% of 124
5-20% of 66
6- 47% of 80
7-48% of 202
8-74% of 39
9-30% of 118
10-20% of 42
11-arnold ate breakfast at a restaurant. The total cost of his food, juice, and coffee was $6.45. If the sales tax rate is 8% and Arnold wants to leave a 20% tip. how much should he pay
12- rodneys weekly gross pay is $91. He must pay 32% of taxes and deductions. estimate rodneys weekly take home after deductions.
Solve for w.
-2 = w + 7
Answer:
-9
Step-by-step explanation:
I just took the same test