Answer:
x= -2
y=4
Step-by-step explanation:
Since we have an equation set equal to y, we can plug it in for either value of y.
I will be using y= x+6 in this case.
Plug in x+6 for the other equation, so instead of y=-x+2 it will now be that x+6 = -x+2
Now add x to both sides, and that will remove the x on the left side leaving us with 2x+6 = 2
Now, subtract 6 from both sides to get 2x isolated, and you will get 2x= -4
Divide both sides by 2 to get x= -2
Not plug x= -2 in back for the top (or bottom) equation and get that y=4
Hope this helps and isn't too complicated!
Springsville runs a summer program for children at the park. The participants can choose from several activities throughout the day. The choices are shown in the table.
The answer is A. Springsville has several different activities.
what is thecentre and diameter of the circle with equation
[tex]x {2} + {y2} - 2y + 1 = 16[/tex]
Answer:
The exact value of sin 22.5° using the half-angle formula is √(2 - √2) / 2 or 0.38
Step-by-step explanation:
Let us consider θ = 22.5 º
Therefore, sin2θ = [(1− cos 2θ) / 2] -------(1)
If θ = 22.5° then 2θ is 45°.
On substituting the value of θ in equation (1), we get
sin2 22.5° = [(1− cos (2 × 22.5°)) / 2]
sin2 22.5° = [(1− cos 45°) / 2]
sin2 22.5°= [ [1 - (1 / √2)] / 2 ]
sin2 22.5°= (2 - √2) / 4 [ on simplifying the above RHS value ]
sin 22.5° = [√(2 - √2) / 2]
After substituting the value of √2 as 1.414 in the above equation, we get
sin 22.5°= 0.38
Write 0.5 repeating as a fraction
Answer: 5/9
Step-by-step explanation: I took a test on this ;)
Family B lives in Boise, Idaho. Their total household monthly income is
$
4
,
675
.
Use the graph to calculate the central angle of each section for Family B. Then, complete the following table. Note: Express each angle measure as a number, rounded to the nearest tenth of a degree.
Family B
1. Housing
°
2. Food
°
3. Childcare
°
4. Transportation
°
5. Insurance
°
6. Other Needs
°
7. Taxes
°
The central angles of the monthly budget of family B are 7.2 degrees, 57.6 degrees, 57.6 degrees, 64.8 degrees, 46.8 degrees, 100.8 degrees and 25.2 degrees, respectively
How to determine the central angles?The central angles of each family is calculated using:
Angle = Percentage * 360
Using the data on the circle graph, we have:
Taxes = 2% * 360 = 7.2 degrees
Housing = 16% * 360 = 57.6 degrees
Food = 16% * 360 = 57.6 degrees
Childcare = 18% * 360 = 64.8 degrees
Transportation = 13% * 360 = 46.8 degrees
Insurance = 28% * 360 = 100.8 degrees
Other needs = 7% * 360 = 25.2 degrees
Read more about circle graphs at:
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How many 1/ 4 cup servings are in a package of cheese that contains 6 and 1/2 cups altogether?
in essence, how many times does 1/4 go into 6 and 1/2?
[tex]\stackrel{mixed}{6\frac{1}{2}}\implies \cfrac{6\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{13}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{13}{2}\div \cfrac{1}{4}\implies \cfrac{13}{2}\cdot \cfrac{4}{1}\implies \cfrac{13}{1}\cdot \implies \cfrac{4}{2}\cdot 13\cdot 2\implies 26[/tex]
Madison bought b pounds of bananas and p pounds of pears and spent a total of $10.38. The price of bananas is $0.60 per pound. The price of pears is $1.74 per pound.
Create an equation that models the total amount of money that madison spend on fruit
Answer:
10.38 = 0.60b + 1.74p
Step-by-step explanation:
Question
Without looking, Luke picks necklace beads from a bag of 52 beads. Half the beads are rough. The other half are smooth. There are 13 red beads, 13 blue beads, 13 green beads, and 13 black beads.
What is the theoretical probability of selecting a blue bead? Write the probability as a fraction in simplest form.
Enter the correct answer in the boxes.
Answer:
1/4
Step-by-step explanation:
This question is asking for the probability of just picking a blue bead
It does NOT say anything about picking a smooth or rough!
This means you don't have to worry about it being smooth or rough (it is just extra information to throw you off)
So to find just picking one blue bead, you want to have the amount of blue beads divided by the total amount of beads
the amount of blue beads is 13
and the total is 52
So:
13/52 is your probability, but you want to simplify
Which comes out to
1/4
An unknown number is not equal to 3.6 but rounds to 3.6 when rounded to the nearest tenth. what does the unknown number round to when rounded to the nearest whole?
The answer would be 4
I need help I’m not sure what this answer is
The equivalent statement is "if m∠A = 60°, then Δ ABC is an equilateral triangle. (Option C).
What is an Equivalent Statement?Equivalent Statements refer to statements that when written differently, retain their logical equivalence. another way to know if a set of statements are equivalent is if they can be proven by one another.
An example of equivalent statement besides the one given already is:
A cat is an animal.
A pet is an animal you own.
Therefore owning a cat is the same as owning a pet.
Therefore:
If Jake owns a cat then he owns a pet.
If Jake doesn't own a pet then he doesn't own a cat.
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1/(√2+√3)-√4 pls explain i dont understand
Hey there!
1/(√2+√3)-√4
=−2−√2+√3
(Decimal: -1.682163)
Can someone please help me ASAP
The pattern follows the "add one dot to the top of each column and one dot to the right of each row" rule. What will the 10th term be?
Answer:
what are the answers for a b c and d
Satellite dishes are shaped like parabolas to optimally revive signals. The cross section of a satellite dish can be modeled by the function y= 1/8(x^2-4) where x and y are measured in feet. The x-axis represents the top of the opening dish.
Write a quadratic function that models the cross section of the satellite dish that is 6 feet wide and 1.5 deep.
The cross section of the satellite dish is an illustration of a quadratic function
The quadratic function that models the cross-section is y = 1/6(x^2 - 9)
How to determie the equation of the cross-section?The given parameters are:
Width = 6 feet
Depth = 1.5 feet
Express the width the sum of two equal numbers
Width = 3 + 3
The above means that, the equation of the cross section passes through the x-axis at:
x = -3 and 3
So, we have:
y = a(x - 3) * (x + 3)
Express as the difference of two squares
y = a(x^2 - 9)
The depth is 1.5.
This is represented as: (x,y) =(0,-1.5)
So, we have:
-1.5 = a(0^2 - 9)
Evaluate the exponent
-1.5 = -9a
Divide both sides by -9
a = 1/6
Substitute 1/6 for a in y = a(x^2 - 9)
y = 1/6(x^2 - 9)
Hence, the quadratic function that models the cross-section is y = 1/6(x^2 - 9)
Read more about quadratic functions at:
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A restaurant sends customers in their loyalty program a coupon for a free birthday dessert. suppose that 8% of
the children and 12% of the adults redeem their coupons.
the restaurant takes separate random samples of 100 children and 90 adults from their loyalty program to see
the difference between the sample proportions (pc - pa).
what will be the shape of the sampling distribution of pc - pa, and why?
Answer:
Not normal, because we expect fewer than 10 children to redeem the coupon.
Step-by-step explanation:
Solve for s.
s ÷ 15 = 0.88
Multiply both sides by 15.
s = 0.88 * 15 = 13.2 (use calculator)
Answer:
13.2
Step-by-step explanation:
just multipply 15 by 0.88 to get 13.2
1. During which of the following situations would the government most likely have a
contractionary fiscal policy?
A. when the volume of net exports is unusually low
B. when the economy is in a trough of the business cycle
C. when the inflation rate is negative
D. when the level of economic output is running unusually high
E. when the unemployment rate is running unusually high
2. During a recession, unemployment will ________, tax revenue collected by the
government will ________, and spending by the government will ________.
A. decrease; decrease; decrease
B. increase; increase; decrease
C. decrease; decrease; increase
D. increase; decrease; increase
E. decrease; increase; decrease
3. According to the new classical critique of fiscal policy, why do consumers increase their
savings in response to government spending?
A. They shift their consumption toward more expensive goods, which must be saved up
for.
B. Government spending incentivizes firms to lower prices, which means consumers
spend less.
C. Government spending drives interest rates up and so makes saving more profitable.
D. When workers’ earnings increase, they are able to save a greater percentage of their
total earnings.
E. They believe they will eventually need the saved money when they have to pay
higher taxes.
A situation when the government most likely have a contractionary fiscal policy is D. when the level of economic output is running unusually high.
What is contractionary fiscal policy?Contractionary fiscal policy is when the government collects more money than it spends. This is usually done by increasing taxes and reducing government expenditure.
During a recession, unemployment will increase tax revenue collected by the government will decrease, and spending by the government will increase.
According to the new classical critique of fiscal policy, consumers increase their savings in response to government spending because they believe they will eventually need the saved money when they have to pay higher taxes.
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The graph represents function 1 and the equation represents function 2:
A graph with numbers 0 to 4 on the x-axis and y-axis at increments of 1. A horizontal straight line is drawn joining the ordered pairs 0, 3 and 4, 3.
Function 2
y = 4x + 1
How much more is the rate of change of function 2 than the rate of change of function 1?
Answer:
4
Step-by-step explanation:
A.
subtract both slopes
B.
in word problems:
"rate of change" means slope
C.
1. horizontal line's slope is 0
2. number next to the x is the slope
y = 4x + 1 : slope is 4
3. "How much more" is word problems means subtract
4 - 0 = 4
D.
horizontal and vertical lines' slopes are 0
The roberts family is getting an inground circular pool with a radius of nine feet. The company needs to dig out an extra three feet all the way around the pool to have room for plumbing. What is the area of the grass that will be removed?
Answer:
197.92
Step-by-step explanation:
radius of bigger circle is 12 (9 + 3). Area of cirlce is Pi(R²)
12² is 144 so 144Pi
9² is 81 (for the inner circle) so 81Pi
144 - 8 is 63Pi which in decimal form is 197.92.
Simplify: 18 - ⎷81 + 9 · 3⁴ - (3 - 2 + 9) ÷ 2
Answer:
733
Step-by-step explanation:
18 - √81 + 9 × 3⁴ - ( 3 - 2 + 9 ) ÷ 2
18 - 9 + 9 × 81 - ( 10 ) ÷ 2
(18 - 9) + (9 × 81) (-10 ÷ 2)
9 + 729 - 5
738 - 5
733
I hope this helps!
2 2/3 - 1 1/2 - 4/5
what does it equal
Answer:
11/30
Step-by-step explanation:
Do you need an explanation?
Write x2 y2 – 18x 8y 5 = 0 in standard form. group terms and move the constant to the other side of the equation. x2 – 18x y2 8y = –5 determine the values that need to be added to both sides of the equation. (–18 ÷ 2)2 = 81 and (8 ÷ 2)2 = 16 add the values to both sides of the equation. write each trinomial as a binomial squared, and simplify the right side. what is the standard form of the equation of a circle given by x2 y2 – 18x 8y 5 = 0? ( )² ( )² =
The equation of the circle x² + y² – 18x + 8y + 5 = 0 can be written as in the standard form is (x – 9)² + (y + 4)² = 92
What is a circle?It is a locus of a point drawn equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
The equation of the circle is given below.
x² + y² – 18x + 8y + 5 = 0
Add and subtract 97, then we have
x² – 18x + y² + 8y + 97 – 97 + 5 = 0
x² – 18x + 81 + y² + 8y + 16 – 92 = 0
(x – 9)² + (y + 4)² = 92
More about the circle link is given below.
https://brainly.com/question/11833983
12 , − 7 , − 20 , − 9 , − 5 , 6 , 2 , − 12 , 15 , 16 State the median.
To find the median, we must order the numbers from least to greatest and find the middle number which will be the median.
List in order: -20, -12, -9, -7, -5, 2, 12, 15, 16
The number in the middle position is -5 <-- median
Hope that helps!
How can I solve the equation?
Answer:
r = 15
The radius of the sphere is 15 feet.
Step-by-step explanation:
see image.
Use the formula for the volume of a sphere:
V = 4/3 • pi • r^3
Fill in the 4500pi that is given for the V.
4500pi = 4/3 • pi•r^3
Then solve for r.
see image.
Multiply by 3/4 to get rid of the 4/3.
Divide both sides by pi.
Then cube root to get rid of the third power on the r.
see image.
Don't forget units.
r = 15 feet
Hope this helps! Pls mark Brainliest! tysm!
SYSTEM OF EQUATIONS- I struggle with this
Person A wants to order a bunch of shirts. One website charges 9.65 per shirt, plus a set up fee for $43. Another company charges 8.40 per shirt plus a $58 fee. But what number of shirts would the cost be the same? Why?
Answer:
12 shirts
Step-by-step explanation:
First, we need to write our equations. Let x be the number of shirts and y be the cost. We will multiply the number of shirts bought (x) by the price and then add the setup fee.
To answer the overall question, we will graph the two equations we create. Their point of intersection is the solution, or where the number of shirts bought would cost the same.
"One website" - 9.65 per shirt, plus a set up fee for $43
y = 9.65x + $43
"Another company" - 8.40 per shirt plus a $58 fee
y = 8.4x + $58
See attached for the graph.
They intersect at point (12, 158.8) meaning that both websites will charge $158.80 for 12 shirts.
100 POINTS!!!
What is the length of XY?
20
10
36
40
Answer:
the answer is 40
Step-by-step explanation:
I took the test on dradpoint
Can I have help on this?
Answer:
25°
Step-by-step explanation:
51+x+14=90°
x+65=90°
x=90-65
x=25°
Answer: 25°
Step-by-step explanation:
51+x+14=90°
x+65=90°
x=90-65
x=25°
i REALLy WanT sOme HeLp
Jack brought 3 slices of cheese pizza and 4 slices of mushroom pizza for a total cost of $12.50. Grace bought 3 slices of cheese pizza and 2 slices of cheese pizza and 2 slices of mushroom pizza for a total cost of $8.50.
What is the cost of this one slice of mushroom pizza?
O $1.50
O $3.00
O $3.50
O $2.00
Answer:
$4.25
Step-by-step explanation:
Simple, 12.50 divided by four is 4.25. Meaning the answer is $4.25.
From the coordinate 8,12 to 10 and 15 what was the scale factor
Answer:
Scale factor is 5/4
Step-by-step explanation:
To find scale factor make a fraction. New coordinates/old coordinates
Make the fractions and reduce.
10/8 and 15/12
5/4 and 5/4
The scale factor is 5/4
Solve this for me pls
Answer:don’t delete my comment I need more points lol
Step-by-step explanation:
Find the scale of the 2 known sides:
40/8 = 5
the larger shape is 5 times the size.
Multiply the known sides by 5:
X = 5 *5 = 25
x = 25
The seventh-grade class is selling boxes of votive candles as a fundraiser. The first box purchased costs $14.00 , and each additional box costs $10.00 .
a. Is the relationship between the number of additional boxes of candles purchased and the total money spent linear?
Yes
Question 2
Explain your answer.
Answer:
b. C= 14+(10b)
c. C = 14+ ( 10 x 3) = 14+30 =44
Step-by-step explanation:
Hope this helps