Find the solution to the system of equations:
7x-8y=-23
7x-7y=-14
Answer:
Solutions: x = 7, y = 9; or (7, 9)
Step-by-step explanation:
Given the following systems of linear equations:
7x - 8y = -23
7x - 7y = -14
Since the coefficients of x in the given system have the same sign, we could use the process of elimination by subtracting the two equations.
7x - 8y = -23
- 7x - 7y = -14
-y = -9
Divide both sides by -1 to solve for y:
[tex]\frac{-y}{-1} = \frac{-9}{-1}[/tex]
y = 9
Substitute the value of y into either one of the given equations to solve for x:
7x - 7y = -14
7x - 7(9) = -14
7x - 63 = -14
Add 63 to both sides:
7x - 63 + 63 = -14 + 63
7x = 49
Divide both sides by 7 to solve for x:
[tex]\frac{7x}{7} = \frac{49}{7}[/tex]
x = 7
Double-check whether x = 7 and y = 9 are valid solutions to the given system:
x = 7, y = 9:
7x - 8y = -237(7) - 8(9) = -23
49 - 72 = -23
-23 = -23 (True statement).
7x - 7y = -147(7) - 7(9) = -14
49 - 63 = -14
-14 = -14 (True statement).
Therefore, the solution to the given systems of linear equations are x = 7, and y = 9, or (7, 9).
In a muncipality ,Two of the most well-known activities for teenagers are biking and motorcycling riding.Out of 100 teenagers,58 in biking,42 like motorcycling and 18 like both
a.create a veen diagram represent the problem
Answer:
See belowStep-by-step explanation:
Given:
Total number is 100Biking = 58Motorcycling = 42Both = 18Biking only:
58 - 18 = 40Motorcycling only:
42 - 18 = 24Neither:
100 - (40 + 18 + 24) = 18Venn diagram consists of:
Biking | Both (Intersection) | Motorcycling | Neither (outside of circles)
40 18 24 18
Brax has $12.00 to spend at the gift shop. He wants to buy a book for $7.50 and a dinosaur for $3.75. What change will Brax have after he purchases these items?
a shop produces 39 salt lamps in 2 weeks. how many salt lamps will they produce in 22 weeks?
Answer:
You will sell 429 salt lamps in 22 weeks.
Step-by-step explanation:
HELP ASAP
Solve for the measure of ∠PMR
Answer:
116*
Step-by-step explanation:
Since <PMR consists of <RPW and <WPM and we know that these are the same, we just have to multiply 58 by 2 and get 116, which will be your answer.
Tell me if I'm wrong :)
1\4-2\7 plese show your work
Answer:
-1/28
Step-by-step explanation:
You need to convert 2/7 and 1/4 into the same denominator. The GCD is 28. 2/7=8/28 and 1/4=7/28. 7/28-8/28=-1/28
Answer:
-1/28
Step-by-step explanation:
You have to find the least common multiple for 7 and 4, the denominators, to add the fractions. The LCM of 7 and 4 would be 28. You would have to multiply 7 by 4 and 4 by 7, meaning you have to multiply the numerators by the same number. 1x7/4x7-2x4/7x4= -1/28.
Hey can you guys help me pls :))
Answer:
-d-1<2. => -(-2)-1=1<2. the forth option is true
More reviewing purposes
Answer:
143
Step-by-step explanation:
BEDMAS = brackets, exponents, division, multiplication, substraction, addition.
you need to first do the exponents, then the multiplication, then the addition
exponents = 7² = 49
4 x 9 + 2 x7² + 9 = 4 x 9 + 2 x 49 + 9
multiplication = 4x9 = 36
36 + 98 + 9
addition = 36 + 98 = 134 and 134 + 9 = 143
you need to use the BEDMAS (order of opperation) to find the answer, it simplifies the answer and you can do it step by step. I bolded what you needed to use in this question, but you should use all of the ones that you can whenever you can.
good luck. :)
a toy car costing 500.00 is reduced by 10% in the sale how much does it cost now?
After the 10% reduction in the price of the toy car, the car costs 450.
In order to determine the cost of the toy car after the price was reduced by 10%, the first step is to determine what 10% of $500 is.
10% x 500
0.1 x 500 = 50.
The second step is to subtract the value of the 10% price reduction from the original cost of the toy car.
500 - 50 = 450
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20 large bottoles can be recyled to make 1 fleece jacket how many fleece jackets can you make with 360 large plastic bottoles
Answer:
18 fleece jackets can be made
I think you have to divide 360 by 20 (Im not sure)
Hopefully this can help :)
Work out the mean for the data set below:
3.4, 5.2, 4.7, 3.5, 0.5
Give your answer as a decimal.
Answer:
3.4 + 5.2 + 4.7 + 3.5 + 0.5
= 17.3
There are a total of 5 numbers
17.3 / 5
= 3.46
show your work
3|n-4| = 18
Answer:
n = 10, n = -2
Step-by-step explanation:
hope it helps.
What is power of 3 square root of 4 / square root of 2 in simplest radical form?
Answer:
√90=3√10
Step-by-step explanation:
Henry is going to rent a truck for one day. There are two companies he can choose from, and they have the following prices. Company A charges $118 and allows unlimited mileage. Company B has an initial fee of $55 and charges an additional $0.90 for every mile driven. For what mileages will Company A charge less than Company B? Use m for the number of miles driven, and solve your inequality for m.
Answer:
B.
Step-by-step explanation:
step by step explanation
Answer:
after 70 miles, company B will charge Henry more.
Step-by-step explanation:
at 70 miles both companies will charge the same price
118 = 55 + 0.9m
m = (118 - 55) divided by 0.9 = 70
in a subway, x men and y women travel. explain what is meant by the expression: y-x
Answer:
Step-by-step explanation:
y - x means the the difference in the number of women compared with men.
So if there are 20 women and 14 men, y - x = 20 -1 4 = 6 , that is 6 more women than men.
If there are more men than women then y - x will have a negative value, and there will be, if we flip the above numbers. 6 more men than women.
what is the y- intercept of this quadratic funtions f(x)=-x2+10x-22
What is the value of w in this equation?
10w = 27 + w
Answer:
w = 3
Step-by-step explanation:
10w = 27 + w
since there is two like terms in this equation which are 10w and w, we can subtract w from both sides to get it on one side of the equation
10w = 27 + w
-w - w
9w = 27
now we have to get w alone so we have to divide 9 by both sides
9w/9 = w
27/9 = 3
so w = 3
Find the area of the similar
figure.
18cm
15cm
Area = 50cm2
Area = [?]cm2
-
Answer:
270
Step-by-step explanation:
Is x+y=10 linear or non
Answer:
Not
Step-by-step explanation:
In this case, the degree of variable y is 1 , the degrees of the variables in the equation violate the linear equation definition, which means that the equation is not a linear equation.
I need help to divide fractions
BTW I'm in 5th grade
Simplify: square root of 18x^7
O 9x^3 square root x
O 3x^3 square root 2x
O 3x square root x^3
Answer:
c
Step-by-step explanation:
square root of 18x^7
square root of 9×3x^4×x^3
9x square root of 3x^3
divided by 3 it came 3x square root of x^3
Mrs. Janssen has a class of 10 students. In her class, there are 4 boys and 6 girls. Mrs. Janssen chooses two students from her class randomly.
What is the probability that she did NOT choose a boy either time?
Probabilities are used to determine the chance of events
The probability that she did NOT choose a boy either time is 1/3
The given parameters are given as:
[tex]\mathbf{n = 10}[/tex] --- total number of students
[tex]\mathbf{Boys = 4}[/tex] --- total number of boys
[tex]\mathbf{Girls = 6}[/tex] ---- total number of girls
If she did not choose a boy in either selection, then it means that both selections are girls.
So, the probability is calculated using:
[tex]\mathbf{P = P(Girl) \times P(Girl)}[/tex]
The selection is without replacement.
So, we have:
[tex]\mathbf{P = \frac{Girl}{n} \times \frac{Girl-1}{n-1}}[/tex]
Substitute known values
[tex]\mathbf{P = \frac{6}{10} \times \frac{6-1}{10-1}}[/tex]
[tex]\mathbf{P = \frac{6}{10} \times \frac{5}{9}}[/tex]
Simplify
[tex]\mathbf{P = \frac{1}{3}}[/tex]
Hence, the probability is 1/3
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I'm not exactly sure how to do this. I know how you would graph it but I don't know the transformation.
Answer:
Its D.
Step-by-step explanation:
The 3 as the exponent makes it cubic and since the x+1 is in parenthesis you would move it 1 unit to the left
PLS HELPPPP
Answer the following problem using the SOLVE Method
Math Club members are selling Math club members are selling Pi Day T-shirts for $7.50 each. The goal is to
raise $500 by Friday. The figure below shows how much they have raised by
Wednesday. What is the minimum number of T-shirts they must still sell in
order to reach their goal? Explain your reasoning.
The minimum number of T-shirt that they must sell to raise $500 is 67 T-shirts
Let x represent the number of Pi Day T-shirts sold.
They are selling Pi Day T-shirts for $7.50 each, So to raise $500:
7.5x > 500
Dividing through by 7.5:
7.5x / 7.5 > 500 / 7.5
x > 66.7
Hence, the minimum number of T-shirt that they must sell to raise $500 is 67 T-shirts
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4. Claudia works at a sweet shop selling chocolate and caramel-dipped apples. During her shift, she
sells a total of 48 apples, Claudia sells the chocolate-dipped apples for $3 each and the caramel-
dipped apples for $3.25 each. She makes a total of $151. How many of each type of apple did she
make?
The mean of 17,x,10,17,51 is 21 find x
Answer:
x=10
Step-by-step explanation:
(17+x+10+51+17)/5=21
95+x=105
x=10
The required value of x for the given mean of the data is x = 10.
How to find the mean of the given sample of data?In order to find the mean for a sample, first count the number of data in a sample, say n. Then, do the summation of all the values in that sample and divide it by the number of data obtained earlier.
Mathematically, it can be written for n number of data x₁, x₂, x₃, ..... as,
Mean = ( x₁ + x₂ + x₃ + .....)/n.
Given that,
The mean of 17, x, 10, 17 and 51 is 21.
It can be written in mathematical form as,
(17+ x + 10 + 17 + 51 )/5 = 21
=> 17+ x + 10 + 17 + 51 = 21 × 5
=> x = 105 - 95
=> x = 10
Hence, for the given data the value of x is 10.
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Is there a value of x that makes each of the following equalities true? If there is, find it.
a. √x-3=0
b. √x=-10
c. √x+1=0
d. √x=0.1
Step-by-step explanation:
a. √x - 3 = 0 ⇒ √x = 3 ⇒ x = 3² ⇒ x = 9 b. √x = -10,no solution as √x is a positive value
c. √x+1=0 ⇒ √x = - 1,no solution as √x is a positive value
d. √x = 0.1 ⇒ x = 0.1² ⇒ x = 0.01#1
√x-3=0x-3=0x=3If square root is over x only x=3²=9
#2
No solutions as -10 is <0
#3
√x+1=0x+1=0x=-1If root is over x only then no solutions
#4
√x=0.1
x=0.01
For f(x) = 2x + 1 and g(x) = x2 - 7, find (f + g)(x).
Answer:
(f+g)(x)=x²+2x-6
Step-by-step explanation:
(f+g)(x)=2x+1+x²-7
collect like terms
(f+g)(x)=x²+2x+1-7
according to mathematics x² is not a like term of 2x so don't add the them
(f+g)(x)= x²+2x-6
HELP WHAT IS 22 + 5/8 x -1/2
I will give brainliest!
Answer:
181/8
Step-by-step explanation:
Answer:
5x/8 + 43/2
Explanation:
The answer is the exact value.
What is identity matrix.
Answer:
a square matrix in which all the elements of the principal diagonal are ones and all other elements are zeros. The effect of multiplying a given matrix by an identity matrix is to leave the given matrix unchanged.