Answers
Answer:
x = 15
Step-by-step explanation:
The angles shown are supplementary angles. Supplementary angles add up to equal 180°
This means that 2x + 8 + 8x + 22 must equal 180
Note that we've just created an equation that we can use to solve for x
We now solve for x using that equation
2x + 8 + 8x + 22 = 180
combine like terms : 2x + 8x = 10x and 8 + 22 = 30
10x + 30 = 180
subtract 30 from both sides : 30 - 30 cancels out and 180 - 30 = 150
10x = 150
divide both sides by 10: 10x / 10 = x and 150 / 10 = 15
we're left with x = 15
Answer:
x = 15
Step-by-step explanation:
The angles shown are supplementary angles. Supplementary angles add up to equal 180°
This means that 2x + 8 + 8x + 22 must equal 180
Note that we've just created an equation that we can use to solve for x
We now solve for x using that equation
2x + 8 + 8x + 22 = 180
combine like terms : 2x + 8x = 10x and 8 + 22 = 30
10x + 30 = 180
subtract 30 from both sides : 30 - 30 cancels out and 180 - 30 = 150
10x = 150
divide both sides by 10: 10x / 10 = x and 150 / 10 = 15
we're left with x = 15
Related Questions
What is the vertical shift for the absolute value function below. Explain how you know using complete sentences. Include the direction and number of units of the shift. f(x)=9|x+1|+2
Answers
The vertical shift of the function [tex]f(x) = 9|x + 1| + 2[/tex] is 2 units up
The absolute function is given as:
[tex]f(x) = 9|x + 1| + 2[/tex]
An absolute function is represented as:
[tex]f(x) = a|x - h| + k[/tex]
Where k represents the vertical shift.
By comparison, the value of k is:
[tex]k = 2[/tex]
This means that the vertical shift is 2 units
Hence, the vertical shift of the function [tex]f(x) = 9|x + 1| + 2[/tex] is 2 units up
Read more about absolute value function at:
https://brainly.com/question/25971887
2x2 +5x+8
Given x 3-2, the expression
x+2.
is equivalent to
Answers
Answer:
x=-1
Step-by-step explanation:
so 3-2 is 1 right so what humber + 2 is 1 well -1 becasue -1 + 1 is 0 and plus 2 would be 1 so its -1 (or x= -1). Hope this helped!
The expression equivalent to the given expression is (2x+1)+6/(x+2)
What is an expression?Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given is an expression, (2x²+5x+8)/(x+2)
From the given options,
Simplifying (2x+1)+6/(x+2), we get,
= (2x+1)(x+2)+6/(x+2
= (2x²+4x+x+6+2)/(x+2)
= (2x²+5x+8)/(x+2)
Since, we get the main expression by solving the option expression,
Hence, the expression equivalent to the given expression is (2x+1)+6/(x+2)
For more references on expressions, click;
https://brainly.com/question/14083225
#SPJ2
The Diamondbacks softball team orders a new baseball bat and pays $310.30 after tax. The tax rate is 7%. What is the original price of the baseball bat?
Answers
Answer: $255.58
Step-by-step explanation:
$310.30*0.07= $21.721
$310.30-$21.72= $255.579
Round
$255.579 --> $255.58
A production line operation is designed to fill cartons with laundry detergent to a mean weight of 32 ounces. A sample of cartons is periodically selected and weighed to determine whether under-filling or over-filling is occurring. If the sample data lead to a conclusion of under-filling or over-filling, the production line will be shut down and adjusted to obtain the proper filling.
a. Formulate the null and alternative hypotheses that will help in deciding whether to shut down and adjust the production line.
b. Comment on the conclusion and the decision when the null hypothesis cannot be rejected.
c. Comment on the conclusion and the decision when the null hypothesis can be rejected.
Answers
Answer:
b
Step-by-step explanation:
mark brainliest pls....
A box plot is shown
O
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12
Determine the five-statistical summary of the data. Drag the correct number to each variable in the summary.
14
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22 24 26
28
30
Minimum:
Maximum:
Median:
First Quartile:
Third Quartile:
1
2
3
4
11
5
12
6
ما تا ته
13
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8
21
15
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Please answer fast
Answers
Answer:
O
2
4
6
8
10
12
Determine the five-statistical summary of the data. Drag the correct number to each variable in the summary.
14
16
18
20
22 24 26
28
30
Minimum:
Maximum:
Median:
First Quartile:
Third Quartile:
1
2
3
4
11
5
12
6
ما تا ته
13
14
8
21
15
22
16
10
23
17
24
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Please answer fast
what is (1+1²×2²).....
Answers
Answer:
[tex](1 + {1}^{2} \times {2}^{2} ) = 1 + 1 \times 4 \\ = 1 + 4 \\ = 5[/tex]
[tex] \bold \pink{ \underline{hope \: it \: helps}}[/tex]
Andre draws a tape diagram for 3÷2/3
Andre says that 3÷2/3= 4 1/3 because there are 4 groups of 2/3 and 1/3 left. Do you agree with Andre? Explain your reasoning
Answers
Answer:
No I do not agree with Andre says that 3 divided by 2/3 Solving for 3 ÷ 2/3
3 ÷ 2/3
= 3 × 3/2
= 9/2
= 4 1/2
Therefore, 3 divided by 2/3 is 4 1/2
Andre's reasoning is wrong.
Step-by-step explanation:
It is incorrect
Let's divide and compare the sum
3 : 2/3 = 3*3/2 = 9/2 = 4 1/2
and
There are four 2/3 fractions and one 1/3 fraction
The 1/3 fraction is 1/2 of 2/3 fraction so instead of counting 1/3 as 1/3 it should be counted as 1/2
Please help me ill put the question up for a lot of point, and i will mark as brainliest!!!
Answers
Step-by-step explanation:
(2x³y^-4)^-2 = 1/(4x⁶y^‐8) = y⁸/(4x⁶)
1/(8x⁵y^-7) = y⁷/(8x⁵)
4x^-9y⁴ = 4y⁴/x⁹
so, the whole expression is then
y⁸/(4x⁶) × y⁷/(8x⁵) × 4y⁴/x⁹
4y¹⁹/(32x²⁰) = y¹⁹/(8x²⁰)
so, D is the correct answer.
at a community college a survey was taken to determine where students study on campus. Of the 270 students surveyed, it was determined that 177 studied in the library , 142 studied in the cafeteria, 82 studied in both the library and the cafeteria. Of those students surveyed, how many studied only in the library?
Answers
Answer:
177
Step-by-step explanation:
Although it says that 82 studied in both, the question is aksing for ONLY at the library. It says that of the 270 surveyed, 177 study at the library.
This means that 65.56% of the students studied at the library primarely.
Answer:
95
Step-by-step explanation:
Use a Venn diagram;
2 places are identified where students may study, the library and the cafeteria so there are 2 circles;
One represents library (L) and the other is cafeteria (C);
82 goes in the overlap since 82 study in both places;
177 study in the library, but this includes the 82 that also study in the cafeteria, so 177 - 82 will give us the number who study only in the library, i.e. 95;
If we wanted to find the number who study only in the cafeteria, it would be similar;
142 study in cafeteria, including the 82 who also study in the library, therefore 142 - 82 will give the number who only study in the cafeteria, i.e. 60;
The number who study in neither the library nor the cafeteria would be the total number of students surveyed (270) take the 82 who study in both places and take the 95 who study only in the library and take the 60 who study only in the cafeteria, which gives 33 (i.e. 270 - 82 - 95 - 60)
I need help with this
Answers
Pls help!! What is the equation for the line in slope-intercept form
Answers
Answer:
y = -4x + 9
Step-by-step explanation:
using any two points, in this case (0, 5) and (3, -7) you can find slope by using this formula: [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
plug in the x- and y- values of the two points above
[tex]m=\frac{-7-5}{3-0}=\frac{-12}{3}=-4[/tex]
y = -4x + b
use any point of the line and plug it into the equation above
5 = -4(0) + b
5 = -4 + b
5 + 4 = -4 + b +4
9 = b
the equation in full is y = -4x +9
Can someone please help me
Answers
Answer:
all the small nembers x
Step-by-step explanation:
Item 1 Ethan used 1 3 of a liter of milk to make 1 9 of a jug of tea. How much milk is required to fill the jug?
Answers
Answer:
3 liters
Step-by-step explanation:
Mai skated x miles, and Clare skated 2 times farther than that. Write an equation to represent the relationship between the distance Mai skated (x) and the distance Clare skated (y).
Answers
Y=the answer
X= Mai skated
X2= Mai’s distance times 2 equals Clare’s distance
Two researchers, Justin and Henry, work together to study what proportion of subjects have a certain genotype in the population. They each collect a simple random sample and they find that the sample proportion is 0.70. When they construct a confidence interval based on this sample proportion, Henry comes up with (0.632, 0.768) while Justin gets (0.652, 0.788). Indicate which interval has to be wrong and why.
Answers
Using confidence interval concepts, it is found that Justin is wrong, as his interval is not symmetric about the sample proportion of 0.7.
A confidence interval has two bounds, a lower bound and an upper bound. A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds. The margin of error is the difference between the two bounds, divided by 2.In this problem, the point estimate is of 0.7.
Henry's interval is symmetric, as [tex]0.768 - 0.7 = 0.7 - 0.632[/tex].Justin's is not, as [tex]0.788 - 0.7 \neq 0.7 - 0.652[/tex].Hence, Justin is wrong, as his interval is not symmetric about the sample proportion of 0.7.
For more on confidence intervals, you can check https://brainly.com/question/25822483
The product of 0.4 and a number is 8 write a mathematical expression to represent the verbal expression. Use n for the variable solve the expression
Answers
Answer:
0.4n = 8
n = 20
Step-by-step explanation:
0.4n = 8
n = 8 / 0.4
n = 20
A house on the market was valued at $233,000. After several years, the value decreased by 15%. By how much did the house's value decrease in dollars? What
is the current value of the house?
Decrease in value:
Current house value:
Answers
Answer:
decrease: $34,950current value: $198,050Step-by-step explanation:
The decrease in value is ...
15% of $233,000 = $34,950
The current house value is ...
$233,000 -34,950 = $198,050
Find the polynomial for the shaded area of the figure
Answers
Answer:
59y² -65y
Step-by-step explanation:
The area of a rectangle is the product of length and width. The shaded area will be the difference between the areas of the larger and smaller rectangles.
A = (6y)(14y -5) -(5y +7)(5y)
A = 84y² -30y -(25y² +35y)
A = (84 -25)y² +(-30 -35)y
A = 59y² -65y
On a game show, a contestant wins $200 by answering questions correctly but loses $300 for
each question answered incorrectly. How much money would a contestant win if she
answered 14 questions correct and I question incorrect?
Answers
Answer:
$2500
Step-by-step explanation:
$200×14=$2800
$2800-$300=$2500
plz help I NEED IT RN PLZ
A quadrilateral has (blank) sides and (blank) angles
A pentagon has (blank) sides and (blank) angles
A cube (blank) faces
Answers
Step-by-step explanation:
A quadrilateral has (four) sides and (four) angles
A pentagon has (five) sides and (five) angles
A cube (six) faces
hope this helps you.
A bakery has 18 large trays of bagels and 20 small trays of bagels. Each large tray holds 30 bagels and each small tray holds 15 bagels.
Which equation could be used to find n, the total number of bagels the bakery has?
18 + 30 × 20 + 15 = n
18 × 30 + 20 × 15 = n
18 + 30 + 20 + 15 = n
18×30−20×15=n
Choose wisley
Answers
true or false
A political party is a group of people who seek to control government by winning elections and holding office
Answers
Answer:
True
Step-by-step explanation:
Eg. Republican party nominates a candidate to be considered by the people [hopefully voted] into office. If they win the election, they control a part of government in office.
1/4, 3/4, 5/4, 7/4, ... 15th term
Answers
Answer:
29/4
Step-by-step explanation:
2/4 is added per step
14 steps from 1/4
1/4 + 14.(2/4) = 29/4
Answer:
29 / 4 is the 15th term
simplified : 7 1/4
Step-by-step explanation:
3/4 - 1/4 = 2/4
5/4 - 3/4 = 2/4
7/4 - 5/4 = 2/4
. Use Arithmetic equation
a1 = 1/4
d= common difference = 2/4
a15 = a1 + (n-1) d
a15 = 1/4 + (15 - 1) 2/4
a15 = 1/4 + 14 (2/4)
a15 = 1/4 + 7
a15 = 29/4 or 7 1/4
help me on my 7th grade math homework
Answers
Answer:
Step-by-step explanation:
divide the money or degrees by the hours or form of time they give. for the first one you divide 585/52 to get $11.25 an hour.
A certain shampoo is available in two sizes. A 14.2 -ounce bottle costs 3.98$ . A 33.9 -ounce bottle costs 9.98$ .
Find the unit price for each size. Then state which size is the better buy based on the unit price.
Round your answers to the nearest cent.
Answers
Answer:
14.2 ounce for $3.98 is more cheaper
Step-by-step explanation:
unit price formula; cost ÷ quantity
3.98 / 14.2 = 0.2802816901408
9.98 / 33.9 = 0.2943952802359
round answers to the nearest hundredth;
$0.28
$0.29
compare the answers
Help please!!!!!!!!!!!!!!!!!
Answers
Answer:
You are correct it is indeed mortgage!
Step-by-step explanation:
This is because a fixed expense is something that cannot be changed easily. Like a mortgage, car payments, rent payments, or insurance.
Hope this helps, I tried to just briefly explain! :)
I was absentee and i dont know how to solve it help plz
Answers
Answer:
-1/3
i think.
Step-by-step explanation:
if it's to find slope
Answer:
m = -1/3
Step-by-step explanation:
There are two easy ways you can find the slope. The first one is using the rise over run method which is to first count how much you need to go up or down to get to the other point, and then how much you need to go forward. In this case you go down one, and forward three. This means its -1/3. You can also use the slope formula which uses the coordinates of each point. I attached it to this answer. (m representing slope)
The two legs of right triangle measures 6 and 8 inches respectively. What is the area of the circle that contains all 3 verticals of the triangle
Answers
Answer:
See image.
Step-by-step explanation:
Remember if you have a right angle inside of a circle, the hypotenuse is going to land exactly on the diameter. Also, Area of a circle = (pi)r^2 Lastly, remember pythagorean triples such as 3,4,5 or at least, the Pythagorean theorem a^2 + b^2 = c^2
True or false is 6x10^5 is 20 times as much as 3x10^4
Answers
answer
TRUE
HOPE IT WILL HELP YOU
The income elasticity is +2 and income increases by
20%. Sales were 5000 units, what will they be now?
Answers
Answer:
Step-by-step explanation:
The income elasticity is +2.5 and income increases by 20%. Sales were 5000 units, what will they be now? If the income elasticity is +2.5, income increases by 20% and sales were 5000 units, then the sales will increase by 20%*2.5 = 50% to 7500 units.
