Nick uses 1/4 cup of vinegar for every 1 cup of olive oil when making salad dressing.
Using this recipe, how much vinegar would he need to make salad dressing with 12 cups of olive oil?
Answer:
3 cups of vinegar
Step-by-step explanation:
∵ Nick uses the amount of vinegar for every 1 cup of olive oil = [tex]\frac{1}{4}[/tex] cup
∴ He will need the amount of vinegar for 12 cups of olive oil = [tex]\frac{1}{4}\times 12[/tex] cups
= 3 cups
Therefore, Nick will need 3 cups of vinegar to make salad dressing.
A contestant on a quiz game show has -25 points. If she loses an additional 50 points, what is her score? Write an addition number sentence and then solve.
If m∠PTQ = 3y –10 and m∠QTR = y, find the value of y so that ∠PTR is a right angle
Answer:
y = 25
Step-by-step explanation:
Given that,
m∠PTQ = 3y –10 and m∠QTR = y
We need to find the value of y so that ∠PTR is a right angle.
For a right angle, one of the angle is 90 degrees. The sum of the angle of a triangle is equal to 180 degrees. So,
3y –10 + y + 90 = 180
Taking like terms together
3y+y = 180 -90 +10
4y = 100
y = 25
So, the value of y is 25.
a woman buys a plot of land of area 0.36hectares she pays $8.50 per square meter for the land what is it's total cost
Answer:
$30,600
Step-by-step explanation:
1 hectare = 10,000 [tex]m^2[/tex]
0.36 hectare = 0.36 * 10000 [tex]m^2[/tex] = 3600 [tex]m^2[/tex]
She pays $8.50 per square meter. Thus, the total cost is:
[tex]3600 * 8.50 = \$30,600[/tex]
Answer: $30,600
Simplify 7(exponent 6) multiplied by 7 (exponent 5)
Answer:
(7x7x7x7x7x7x7)x(7x7x7x7x7)
Step-by-step explanation:
The simplified version of [tex]7^6*7^5[/tex] is [tex]7^{11}[/tex]
The rule of multiplying exponents with like terms is to add the exponents.
If you want the fully simplified answer, its 1977326743
3. There are 15 members in student council. Each member must pay a yearly due
of$22.50. During the first month of school 6 members paid their yearly dues. The
remaining members paid their dues in the second moth of school. How much
money was collected in dues during the second month of the school year?
Answer:
202.50 was collected in the second month of school
Step-by-step explanation:
thee are fifteen total members and 6 had already paid witch means that 9 still had to pay. 9 times 22.50 is 202.50
2x+4=8x-2 i don’t know
Answer:
x = 1
Step-by-step explanation:
2x+4=8x-2
2x - 8x = -4 -2
-6x = -6
x = 1
Steps to solve:
2x + 4 = 8x - 2
~Subtract 4 to both sides
2x = 8x - 6
~Subtract 8x to both sides
-6x = -6
~Divide -6 to both sides
x = 1
Best of Luck!
which words name the shape ?
Answer:
D
Step-by-step explanation:
It's these shapes because:
Rectangle- A quadrilateral with 2 pairs of congruent sides and only 90° angles is a rectangle.
Parallelogram- A quadrilateral with 2 pairs of parallel sides is a parallelogram.
Answer:
The fourth one
Step-by-step explanation: The fourth one because a parallelogram has four sides that are equal which makes a parallelogram and the second thing is it's a rectangle.
An equation is shown below:
−2(4x − 1) − 7 = 5
Which statement shows a correct next step in solving the equation?
Answer:
Distribute -2 into (4x-1) to get rid of the parenthesis.
Step-by-step explanation:
The first thing you should to in solving for 'x' is to get rid of the parentheses by distributing.
[tex]-2(4x-1)-7=5\\\\-8x-2-7=5[/tex]
Of course, you would also combine like terms to completely simplify the equation to solve for x.
[tex]-8x-9=5[/tex]
Hope this helps.
Ratio of wins to losses in 42 games with 35 wins.
oh wait no nvm sorry i got t wrong im so sorry dont listen to me im trash
[tex]1.005 = 0.005x + 0.95[/tex]
A brother and a sister want to split 300 dolars by the ratio of their age.How much money does each get if the brother is 14 and the sister is 11?
Answer:
Brother: $168.00
Sister: $132.00
Step-by-step explanation:
14 + 11 = 25
300/25=12
Brother gets (12*14) $168.00
Sister gets (12*11) $132.00
What is the equation of the line that has a slope of -4 and goes through (-1,6)
Answer:
y = -4x + 2
Step-by-step explanation:
We know that the equation of slope is y = mx + bWe also know that the slope is -4 given in this problem So:y = -4x + bUsing the point (-1, 6), we can substitute this point into the above equation to solve for b. (6) = -4(-1) + b6 = 4 + bb = 2Therefore the equation of the line is y = -4x + 2 What effect does decreasing the temperature of a room have on a lifespan of a battery?
Which variable is highlighted in red, bolded tex?
This question is incomplete. There are options in the question (from reference) and no highlight in the red bolded text in the question.
What effect does decreasing the temperature of a room have on a lifespan of a battery?
Which variable is highlighted in red, bolded tex?
a . Independent
b . Dependent
c . Control
d . None
But the answer to both the independent and dependent variables will be provided and explained in detail.
Answer:
Independent variable: decrease in temperature
Dependent variable: lifespan of battery
Step-by-step explanation:
The independent variable in an experiment is defined as the variable that can be changed or manipulated in order to find an outcome while the dependent variable is defined as the variable that is influenced by the changes in the independent variable.
In the given example, a decrease in temperature is the dependent variable as it is changing and the lifespan of battery is the dependent variable as it is responding to the independent variable ?9decrease in temperature).
How can I Solve this ?
What is 4 divided by 348?
Answer:
4/348 = 0.01149425287
348/4 = 87
Step-by-step explanation:
348 divided by 4 is 87
4 divided by 348 is 0.01149425287
Hope this helps you :)
What are the next two terms in the sequence?
5, 16, 27, 38 ...
Answer:
the next two terms are 49, 60
Answer:
49, 60
Step-by-step explanation:
There is a common difference between consecutive terms in the sequence.
16 - 5 = 27 - 16 = 38 - 27 = 11
Thus to obtain the next term, add 11 to the previous term, that is
38 + 11 = 49
49 + 11 = 60
Find the midpoint of the segment with the following endpoints.
(10,7) and (5, 4)
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{(7.5 \: , \: 5.5)}}}}}[/tex]
Step-by-step explanation:
Let the points be A and B
Let A ( 10 , 7 ) be ( x₁ , y₁ ) and B ( 5 , 4 ) be ( x₂ , y₂ )
Finding the midpoint
[tex] \boxed{ \sf{midpoint = (\frac{x1 + x2}{2} , \: \frac{y1 + y2}{2})}} [/tex]
[tex] \dashrightarrow{ \sf{( \frac{10 + 5}{2} \: , \: \frac{7 + 4}{2} )}}[/tex]
[tex] \dashrightarrow{ \sf{( \frac{15}{2} \: , \frac{11}{2}}} )[/tex]
[tex] \dashrightarrow{ \sf{(7.5 \: , \: 5.5)}}[/tex]
Hope I helped!
Best regards! :D
Find the value of x in each case:
Answer:
x=15
Step-by-step explanation:
5x+(180-9x)+(180-8x)=180
total of a triangle angles is 180
Answer:
15°
Step-by-step explanation:
Step 1:
180° - 8x + 5x + 180° - 9x = 180° Sum of Triangle
Step 2:
360° - 12x = 180° Algerbra
Step 3:
- 12x = 180° Algerbra
Step 4:
12x = 180° Algerbra
Answer:
x = 15°
Hope This Helps :)
I need help with this math problem please
Answer:
65 -3x = 55 -2.5x20 periods$5Step-by-step explanation:
The value of the first card starts at $65 and decreases by $3 for each of x periods. Its value is ...
65 -3x
The value of the second card starts at $55 and decreases by $2.50 for each of x periods. Its value is ...
55 -2.5x
The equation that can be used to find x that makes the values equal is ...
65 -3x = 55 -2.5x
__
The solution can be found by adding 3x-55 to both sides of this equation.
10 = 0.5x
Multiplying by 2 gives ...
20 = x
After 20 30-day periods. the cards will have the same value.
__
The value after 20 periods is ...
65 -3×20 = 65 -60 = 5
Both cards will have a value of $5 when they have the same value.
6n + 4 = -6 what does n equal
Answer:
-5/3 or -1.7
Step-by-step explanation:
Answer:
n= [tex]-1\frac{2}{3}[/tex] or [tex]-\frac{5}{3}[/tex]
3. Burns has a bank account with a balance of $65.00. Burns paid $35.00 to
his credit card and he spends $40.00 for a hamburger. What would Burns's
bank balance be, after both debits were paid?
X3-6x-16=0 solve by factoring
Answer:
X = 3 √ 2 ( 3 x + 8 )
Step-by-step explanation:
Solve the equation.
t + 25 = 26
Answer: t = 1
Step-by-step explanation:
Subtract 25 on both sides. t = 1The solution to the equation t + 25 = 26 is t = 1.
The given equation is,
t + 25 = 26
To solve this equation,
Isolate the variable t,
Which means we need to get rid of the 25 on the left side of the equation.
To do that, Subtract 25 from both sides of the equation,
since what we do to one side, we must do to the other to keep the equation balanced.
So,
t + 25 - 25 = 26 - 25.
Simplifying this, we have t = 1.
Therefore, the solution to the equation t + 25 = 26 is t = 1.
To learn more about subtraction visit:
https://brainly.com/question/17301989
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Solve.
f/5 - 24 = -28
f =
Answer:
f=260
Step-by-step explanation:
Answer:
f- -20
Step-by-step explanation:
4x plus 1 divided by 3 equals x minus 5 divided 2
After solving the equation, the value obtained for x will be equal to -17/5.
What is an equation?Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the given statement in the question,
The equation for the given statement will be,
(4x + 1)/3 = (x - 5)/2
8x + 2 = 3x - 15
8x - 3x = -15 - 2
Solve the equation for x.
5x = -17
x = -17/5
To know more about equation:
https://brainly.com/question/29657983
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2p +5q = 21
3p-2q=-16
Answer:
p =− 2
q = 5
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
p =− 2
q = 5
Answer:
q = 5
p = -2
Step-by-step explanation:
I'm gonna use elimination
2p + 5q = 21 Multiply 3 ------> 6p +15q = 63
3p - 2q = -16 Multiply 2 -------> 6p -4q = -32
6p +15q = 63
6p -4q = -32 -__________
19q = 95
q = 5
To find P use any of the equations and substitute q to 5
3p -2(5) = -16
3p -10 = -16
3p = -6
p = -2
57 toys are split into groups of 4 toys. What question do we need to answer here? pls answer quick! this test is already missing and I need to complete it! please no wrong answers :(( it's due in like 20 mins :/
Answer:
im thinking its how many toys you need in each group?
Step-by-step explanation:
Write using exponents. Work from left to right on the grid. 6 • 6 • 6
6 * 6 *6 = 6^3.
Answer:
216
Step-by-step explanation:
Given the question :
6 × 6 × 6
This depicts the product of a certain number in three places
6 × 6 × 6 = 6³
6 * 6 = 36
36 * 6 = 216
Hence, 6³ = 216
what is 8x+9x simplified completely
Answer:
17x
Step-by-step explanation: