2x - 8y = 16 and 3x - 2y = 19 How would I solve by substitution?
On Tuesday, Abel had $164.25
in his bank account. On Wednesday, he withdrew $68.50
from his account. After depositing $286.50
on Friday, how much money did Abel have in his account?
Answer: $382.25
Step-by-step explanation: Subtract 68.50 from 164.25, then add 286.50.
A 6th grade math teacher can grade 15 homework assignments in 24 minutes. If he works at the same rate, how long should it take him to grade 36 homework assignments? [Type your answer as a decimal number.]
Answer:
its 57.6
Step-by-step explanation:
Hal is three times as old as his nephew. Hal is 12 years old. Write a multiplication equation and solve the equation to determine his nephew's age.
Answer:
4
Step-by-step explanation:
The equation would be x * 3 = 12 because we know that Hal's age is 12 and that he's 3 times as old as his nephew. When we solve it we get the answer 4.
4. At Healthy Hair, the cost of a child's haircut is $4 and the cost of an adult haircut is $14. The sales from
the 42 haircuts given on Friday were $588. How
many adults and children had haircuts on Friday? The
answer is the solution to the following system.
4c + 14a = 588
c+a=42
Answer:
Step-by-step explanatio
it can be 7 children and 1 adult, or 3 adults.
i'd say it's, c = 28, while a = 14
There are 40 adults and 2 children had haircuts on Friday.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
We are given the system of equation as;
x + y = 42
4x + 14y = 568
We need to solve, let 'x' = 42-y and substitute this expression for 'x' in the second equation to get:
4(42-y) + 14y = 568
168 - 4y + 14y = 568
168 + 10y = 568
10y = 400
y = 40
therefore, x = 2
There are 40 adults and 2 children had haircuts on Friday.
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320 g as a fraction of 2 kg
Answer:
4/25
Step-by-step explanation:
2kg in grams is 2000g
320/2000 simplifies to 4/25
Answer:
= 320,000g
Step-by-step explanation:
1 kg = 1,000 g so 320 kg = 320*1000 = 320,000 g. Simple!
Aaron is 6 years old, Beth is 9 years old and Charlie is 15 years old. They are going to share £5940 in the same ratio as their ages. How much do they each receive?
Answer:
[tex]Aaron=1188[/tex]
[tex]Beth=1782[/tex]
[tex]Charlie=2970[/tex]
Step-by-step explanation:
From the question we are told that
Ratio 6:9:15
Total amount to e shared N=£5940
Generally the Ratio can divide the Total amount mathematically as follows
Ratio
6:9:15/3=2:3:5
Sum of ratio
2+3+5=10
For Aaron
[tex]A=\frac{2}{10} *5940[/tex]
[tex]A=1188[/tex]
For Beth
[tex]B=\frac{3}{10} *5940[/tex]
[tex]B=1782[/tex]
For Charlie
[tex]C=\frac{2}{10} *5940[/tex]
[tex]C=2970[/tex]
Check answer
[tex]A+B+C=5940\\1188+1782+2970=5940[/tex]
mrs torres is mailing a package that weighs 6.25 pounds. the post office charges by the ounce to mail a package. how much does the package weigh in ounces?
1. 187 ounces
2. 192.2 ounces
3. 100 ounces
4. 200 ounces
PLEASE ANSWER QUICK!!! ( ONLY REPLY IF YOU KNOW THE ANSWER )
Zachary is deciding between two landscaping companies for his place of
business. Company A charges $40 per hour and a $100 equipment fee.
Company B charges $30 per hour and a $150 equipment fee. Let A represent
the amount Company A would charge for t hours of landscaping, and let B
represent the amount Company B would charge for t hours of landscaping.
Write an equation for each situation, in terms of t, and determine the interval
of hours, t, for which Company A is cheaper than Company B.
A=
B=
Answer:
Step-by-step explanation:
A= 40t + 100
B= 30t + 150
A = 40t + 100
B = 30t + 150
Sorry I don't understand the 2nd part
3times what to get -2
Answer: -0.6 recurring
Step-by-step explanation:
-2/3 = -0.6 recurring
WILL GIVE BRAINLY PLEASE HELPPPPP
Which value of x from the set {4, 5, 6, 7}, makes this equation true?
4(8 − x) = 8
A.4
B.5
C. 6
D. 7
Answer:
C
Step-by-step explanation:
4(8-x)=8
32-4x=8
-4x=-24
x=6
According to the income section shown below from the 1040EZ form,
which of the following on line 2 would make the taxpayer ineligible to use this form?
A P E X ANSWER PLEASE I NEED ANSWER ASAP PLEASE AND THANK YOU!
Answer:
A) interest in the amount of $1,600
Sorry, this is late!
Step-by-step explanation:
Line 2 states that a taxpayer is ineligible to use the form if their total taxable interest is over $1,500. Answer A implies that the interest rate is $1,600 which applies perfectly.
The thing on line 2 that would make the taxpayer ineligible to use this form is D, None of the above.
What is a 1040EZ form?This refers to the tax form in the United States that is used for people below the age of 65 and have dependents that earn less than $100,000 yearly.
Hence, we can see from line 2, we can see that it is stated that taxable interest is more than $1,500 and the person becomes ineligible and none of the answer choices satisfies this, so option D is the answer.
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Zachary had $95. He spent $3 per day for 8 days. Then he was given $24 to divide equally
between himself and his 2 brothers. The following expression can be used to find the
amount of money Zachary had after that.
95 - 3.8+ 24 3
Based on this expression, what is the amount of money Zachary had remaining?
F $24
G $71
H $79
J $253
Answer: 79
Step-by-step explanation:
Answer:
79
Step-by-step explanation:
95 total
3x8=24
24 - 95= 71
3 divided by 24=8
71+8=79
what is The smallest number -1, 3, 7, 9 ,11
Answer:
-1 is the answer god luck
jessie incorrectly said the rate 1/2pound / 1/4quart can be written as the unit rate 1/8 pound per quart. What is the correct unit rate? What was Jessies likely error?
Answer: The correct unit rate = 2 pound per quart.
Her error instead dividing of that she multiplied both fraction.
Step-by-step explanation:
Given: Jessie said the rate [tex]\dfrac12[/tex] pound / [tex]\dfrac14[/tex] quart can be written as the unit rate [tex]\dfrac18[/tex] pound per quart.
The rate [tex]\dfrac12[/tex] pound / [tex]\dfrac14[/tex] quart = [tex]\dfrac{\dfrac{1}{2}}{\dfrac14} =\dfrac12\times\dfrac41=2\ \ \ \ \ \ [ \ \dfrac{\dfrac{a}{b}}{\dfrac{c}{d}}=\dfrac{a}{b}\times\dfrac{d}{c}\ ][/tex]
The correct unit rate = 2 pound per quart.
Her error instead dividing of that she multiplied both fraction.
There is an outbuilding that has an area of 80 square feet. The rectangle on the blueprint that represents the outbuilding has an area of 20 square inches. If the actual outbuilding has a wall length of 10 feet, what is the length of that wall on the blueprint . A) 3 B) 4 C) 5 D) 6
Answer:
B) 4
Step-by-step explanation:
There is an outbuilding that has an area of 80 square feet. The rectangle on the blueprint that represents the outbuilding has an area of 20 square inches. If the actual outbuilding has a wall length of 10 feet, what is the length of that wall on the blueprint . A) 3 B) 4 C) 5 D) 6
The length of the wall on the blue print can be calculated as:
20 square feet ÷ 5
= 4 feet
What number makes the equation true?
54 = x6
Answer:
x=1.9441612
Step-by-step explanation:
Hope it
Plz answer fast and answer right I really need this
Answer: C
[tex]\frac{3}{4}*\frac{1}{3}=\frac{3}{12}=\frac{1}{4}[/tex]
what’s 11.9 rounded to nearest tenth??
Answer:
It’s still 11.9
Step-by-step explanation:
Suppose you flip a coin 100 times, with 53 tosses landing heads up. What percentage of the tosses would be tails?
Answer:
47%
Step-by-step explanation:
47/100= 0.47
Write a coordinate proof given quadrilateral ABCD with vertices A (3, 2), B (8, 2), C (5, 0), and D (0, 0).
Plot the point and graph the quadrilateral.
Answer:
Step-by-step explanation:
There is really no way to show that of I know of without drawing it but here is this. I hope this helps and not really exact on position but that is very close.
please help me please will give brainliest to anyone who is good
Answer:
C
Step-by-step explanation:
The terms are being added together, therefore you must be looking for the sum. The answer C is the only one that represents this. It shows all three terms being added together, without then performing another operation after the addition.
Answer:
C
Step-by-step explanation:
The sum of x², 7x and 2 is the same as saying x²+7x+2
I need help on this please
Answer:
Variable- n
Coefficients- -2 and -9
No exponent
No constant
Step-by-step explanation:
Hope this helps!
Step-by-step explanation:
the variable is n
the coefficient is -11
the exponent is 1
[tex] - 11n \\ {n}^{1} [/tex]
the constant is 0
A baseball team won 18 games and lost 3 games during its season. This represents all of the
games that the team played.
What is the ratio of games won to the total number of games played?
Answer:
4 games
Step-by-step explanation:
Find the volume of the solid generated by revolving the shaded region about the X-axis. Y y = sin x cos x
Answer:
hello your question is incomplete attached below is the complete question
answer; [tex]\frac{\pi ^{2} }{16}[/tex]
Step-by-step explanation:
attached below is a detailed solution to the given question above
where :
cos 2x = 1-2sin^2x
cos2x = 2 cos^2x -1
sin^2 2x + cos^2 2x = 1
1-cos^2 2x = sin^2 2x
Answer:
[tex]\mathbf{ Volume (V) = \dfrac{\pi^2}{16} }[/tex]
Step-by-step explanation:
[tex]y = sin x .cos x \\ \\ A(x) = \pi [ sin \ x * cos \ x]^2[/tex]
[tex]= \pi sin^2 x* cos ^2x[/tex]
[tex]Volume (V) = \int ^{\pi/2}_{0} \pi \ sin^2 x \ cos^2x \ . dx[/tex]
[tex]=\pi \int ^{\pi/2}_{0} \Bigg [ \dfrac{1-cos \ 2x}{2} \times \dfrac{1 + cos \ 2x}{2} \Bigg ] \ . dx[/tex]
[tex]=\dfrac{\pi}{4} \int ^{\pi/2}_{0} \ [1 - cos^2 \ 2x] \ . dx[/tex]
[tex]=\dfrac{\pi}{4} \int ^{\pi/2}_{0} sin ^2 2x \ . dx[/tex]
[tex]=\dfrac{\pi}{4} \int ^{\pi/2}_{0} \ \dfrac{1-cos \ 4x}{2} \ . dx[/tex]
[tex]=\dfrac{\pi}{8} \int ^{\pi/2}_{0} \ (1-cos \ 4x) \ . dx[/tex]
[tex]=\dfrac{\pi}{8} \Bigg [x - \dfrac{sin \ 4x}{4} \Bigg]^{\pi/2}_{0}[/tex]
[tex]=\dfrac{\pi}{8} \Bigg [(\dfrac{\pi}{2} -0)-0 \Bigg][/tex]
[tex]\mathbf{ =\dfrac{\pi^2}{16} }[/tex]
What is the equation of the sinusoid shown in the graph?
A. y=3cos(pi/2x)
B. y=3cos(4x)
C. y=cos(4x)
D. y=3cos(1/4x)
Answer:
Answer: C
Step-by-step explanation:
The Cosine Function
The graph of a cosine function is a sinusoid that starts at its maximum value of 1 at x=0 and takes x=2π radians to complete a full cycle. The function of the parent cosine function is:
[tex]y=\cos x[/tex]
Both the amplitude A and the angular frequency w of a cosine can be modeled by the function
[tex]y=A\cos(\omega x)[/tex]
The graph of the cosine function shown in the figure has an amplitude of A=3 and it completes a full cycle at x=π/2, thus:
[tex]\frac{\pi}{2}\omega =2\pi[/tex]
Thus:
[tex]\omega = 4[/tex]
Therefore, the equation of the sinusoid is:
[tex]y=3\cos (4x)[/tex]
Answer: C
Answer:
b apeeeex
Step-by-step explanation:
The temperature outside was 4 degrees Celsius in the morning. It has fallen by 8 degrees. What is the temperature?
Answer:
-4 degrees
Step-by-step explanation:
4 - 8 = -4
Answer:
-4 Celsius
Step-by-step explanation:
Someone plz help me plz ;-; on both plzzzz
1 1/5 - 3/5 = 3/5
9 1/5 - 3/5 = 8 3/5
Answer:
1: 3/5 2: 8 3/5
Step-by-step explanation:
1 3/5 becomes 6/5. 6/5 - 3/5 = 3/5. 9 1/5 becomes 46/5. 46/5 - 3/5 = 43/5. 5*8=40 so 8 3/5.
Challenge Question:
Here is a system with four linear equations.
x+a=6
x-b=5
x+c=4
x-d=3
what is the value of a+b+c+d
Answer:
2
Step-by-step explanation:
x = 3
a = 3
b = -2
c = 1
d = 0
Add them
3 + (-2) + 1 + 0
1. Find Lowest Value of X Possible
2. Go from there
i really need help with this question it's due today
