Answer:
x°=96°
y°=88°
z°=151°
Step-by-step explanation:
55°+29°+×°=180°
×°=96°
96°+55°=z°
z°=151
then let variable A° be one of the inner angle of the triangle
A°+z°=180°
A°+151°=180°
A°=29°
finally adding all the inner angles will give us 180°
96°+y°-13°+29=180°
y°=88°
Dakota received a mark of 68% on his math test.
The test had 25 questions.
How many questions did Dakota answer correctly?
Answer:
17 right
Step-by-step explanation:
68 percent of 25 is 17
PLEASE MARK ME AS BRAINLIEST!!!!!<3
robert gets a loan from his bank.
he agrees to borrow £6000 at a fixed annual simple interest rate of 7%.
he also agrees to pay the loan back over a 10 year period.
how much money in total will he have paid back at the end of 10 years?
Answer:
the total amount that should be paid back at the end of 10 years is £10,200
Step-by-step explanation:
The total amount that should be paid back at the end of 10 years is shown below:
= Borrowed amount + simple interest
= £6000 + (£6000 × 0.07 × 10)
= £6000 + £4,200
= £10,200
Hence, the total amount that should be paid back at the end of 10 years is £10,200
In Mr. Layden's class, three students
brought in their baseball card
collections. For their three
collections, the mode was 126 and
the range was 26. What are two
possibilities for the number of cards
in each student's collection?
Answer: 126, 126, 152
or
100, 126, 126
Step-by-step explanation:
Identify the perimeter and area of a square with diagonal length 24in. Give your answer in simplest radical form!!!
242‾√ in; 288 in2
482‾√ in; 288 in2
242‾√ in; 144 in2
482‾√ in; 144 in2
Answer:
Perimeter: [tex]48\sqrt{2} \: \mathrm{inches}[/tex]
Area: [tex]288\mathrm \: \mathrm{square \: inches}[/tex]
Step-by-step explanation:
If the diagonal of the square is 24 inches, the side length of the square is [tex]12\sqrt{2}[/tex] inches ([tex]2x^2=24^2[/tex]). The perimeter of this square is then [tex]4 \cdot 12\sqrt{2}=\fbox{$48\sqrt{2}\: \mathrm{in}$}[/tex] and the area [tex](12\sqrt{2})^2=\fbox{$288\: \mathrm{in^2}$}[/tex].
The area of the square is 288 in.² and the perimeter is 48√2 in.
Given to us,
Diagonal of the square = 24 in.
We know that for a square,
[tex]\bold{(Diagonal)^2 = 2\times (side)^2}[/tex]
substituting the values,
[tex]{(Diagonal)^2 = 2\times (side)^2}\\24^2 = 2\times (side)^2}\\side = 12\sqrt {2}[/tex]
Also, the area of a square is given by (side)², and, perimeter by (4 x side).
[tex]\bold{Area = (12\sqrt2)^2 = 288 in.^2}[/tex]
[tex]\bold{Perimeter= (4\times 12\sqrt2) = 48\sqrt 2 in.}[/tex]
Hence, the area of the square is 288 in.² and the perimeter is 48√2 in.
To know more visit:
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The sum of 5 times one number, x, and 4 times a second number, y, is 87. If the sum of the two numbers is 20, find the two numbers. Pls hurry need it before schools is over
(hint will mark brainiest)
Step-by-step explanation:
We have 5x + 4y = 87 and x + y = 20.
=> 5x + 4y = 87 and 4x + 4y = 80.
5x + 4y = 87
- (4x + 4y = 80)
=> x = 7
Therefore (7) + y = 20, y = 13.
The answers are x = 7 and y = 13.
what is x ? pleasee help !!!
Answer:
It is an unknown number but add 16 + 32 degrees and you get 48x degrees then multiply 48 X 72 degrees and you get 336 degrees.
Step-by-step explanation:
Please help me lol!!!!!!
Answer:
A
Step-by-step explanation:
help me plez There are 100 bolts in 5 bookcases.
What is the unit rate in bolts per bookcase?
2 bolts per bookcase
20 bolts per bookcase
50 bolts per bookcase
200 bolts per bookcase
Answer:
20 bolts per bookcase
Step-by-step explanation:
Calculate the pay for the following day of a
weekly time card given a wage of $13/hr.
Name
Week of:
Morning
In Out
Monday 08:00 12:00
Afternoon
In Out
12:45
17.30
pay = $[?]
Round your answer to the nearest hundredth.
Please help if you can.
Answer:
dfsfsffsfsdfsfsfsfsfsfsefsfsdfsff
Step-by-step explanation:sfsfsfsf
fsfsfdfdsfsdfsfsf
What is the surface area of a right cylinder which has a base with radius 9 units and has a height of 12 units
оооо
508.7 units squared
678.2 units squared
1,186.9 units squared
1,256.0 units squared
Simplify each and state the excluded values.
8x^3/12x^2+16
Answer:
Cancel the common factor of 8 and 12x²+6.
Tap for more steps...
4x³/6x²+3
Factor 3
out of 6x²+3.
4x³/3(2x²+1)
Step-by-step explanation:
Please help me with this
Answer:
emily 37.44$ Andy 22.15$
Step-by-step explanation:
Andy needs 23 feet multiply 23 feet by 12 you get the amount of inches so 276 inches if the cost for 130 inches is 10.40 we need to increase this number proportionally to 276 So 130+113%=276.9 so 276. Now 10.40x113%=22.15.
Emily needs 13 yards, 13 yards is 39 feet, 39 feet is 468 inches, Now do same thing we did for Andy. 130+360%=468 exactly 10.40+360%=37.44
A Cinema has 240 seats. 144 seats were sold for the current movie. What percent of seats are empty?
PLEASE HELLPPP MEEEEE
Answer:
2x - 3y = 24
Step-by-step explanation:
You use the formula Ax ± By = C.
This is the standard linear equation form.
does this graph represent a function? if yes why?
What is the equation of the line that has a slope of 1/3 and goes through the point (6,−2)?
A. y = 1/3x − 4
B. y = 1/3x + 4
C. y = 1/3x − 8
D. y = 1/3x
Answer: A) y = 1/3x − 4
Step-by-step explanation:
Find the Equation Using Point-Slope Formula
slope: 1/3
point: (6, −2)
Use the slope 1 and a given point (6, −2) to substitute for [tex]x_1[/tex] and [tex]y_1[/tex] in the point-slope form
y - [tex]y_1[/tex] = m(x - [tex]x_1[/tex]), which is derived from the slope equation m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
y − (−2) = 1/3 ⋅ (x − (6))
Simplify the equation and keep it in point-slope form.
y + 2 = 1/3 ⋅ (x − 6)
Solve for y.
1/3 ⋅ (x − 6).
Apply the distributive property.
y + 2 = 1 /3 x + 1 /3 ⋅ − 6
Combine 1/3 and x.
y + 2 = x/3 +1/3 ⋅ −6
Cancel the common factor of 3.
y + 2 = x /3 − 2
Move all terms not containing y to the right side of the equation.
Subtract 2 from both sides of the equation.
y = x/3 − 2 − 2
Subtract 2 from −2. x
y = x/3 − 4
Reorder terms.
y = 1/3x − 4
List the equation in different forms.
Slope-intercept form:
y = 1/3x − 4
Point-slope form:
y + 2 = 1/3 ⋅ (x − 6)
Find -0.5D D=[18. 16] [-14 -6]
Options are: A. [9 8] [-14 -6] B. [9 8] [7 3] C. [9. 8] [-7 -3] D. [-9 -8] [7 3]
Answer:
The correct answer is Option D: [-9 -8] [7 3]
Step-by-step explanation:
Given that
D = [18 16][-14 -6]
We have to find -0.5D
In order to find the required values of D we only have to multiply the individual elements with -0.5, this might change the signs of elements and reduce the magnitude.
So,
[tex]-0.5D = [-0.5*18\ \ -0.5*16][-0.5*-14\ \ \ -0.5*-6]\\-0.5D =[-9\ \ \ -8][7\ \ \ 3][/tex]
Hence,
The correct answer is Option D: [-9 -8] [7 3]
Avery has a points card for a movie theater. She receives 75 rewards points just for signing up. She earns 6.5 points for each visit to the movie theater. She needs 140 points for a free movie ticket. How many visits must Avery make to earn a free movie ticket?
Answer:
10 times
Step-by-step explanation:
After signing up she received 75 points, so the number of points he needs to get a free ticket : 140 - 75 = 65
If she earns 6.5 points or each visit, she would have to visit 65/6.5 times to get a free ticket
65/6.5 = 10
Answer:
10 times bud.
Step-by-step explanation:
Hope this helps!
solve h+9.7=-9.7 and show me the steps
Answer:
h = -19.4
Step-by-step explanation:
1. Take the constant on the left side of the equation by changing the positive to a negative ---> h = -9.7 -9.7
2. Solve the right side, and you have yuor answer. ---> h = -19.4
2 equivalent rations for 6/5 ? please help !!!
13q-30q =
Please show work
At the science fair, Adriana uses 8 fluid ounces of vinegar to make her volcano erupt. How many times can she make her volcano erupt with 1 quart of vinegar?
Answer:
4 times
Step-by-step explanation:
We known that 1 quart is equivalent to 32 fluid ounces
Suppose each eruption consumes 8 fluid of ounces, if we also assume that the amount of vinegar required per eruption is constant, then the number of times Adriana can make her volcano erupt is
n = 32 / 8
n = 4 times
Adriana can make her volcano erupt 4 times with 1 quart of vinegar
when 2(3/5 x + 2/3 y - 1/4 x -1 1/2 y + 3 )is simplified, what is the resulting expression?
Answer:
Simplifying the expression: [tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)[/tex] we get [tex]\mathbf{42x-100y-360}[/tex]
Step-by-step explanation:
We need to simplify the expression: [tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)[/tex]
First we will solve terms inside the bracket
[tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)[/tex]
Converting mixed fraction [tex]1\frac{1}{2} y[/tex] into improper fraction, we get: [tex]\frac{3}{2}y[/tex]
Replacing the term:
[tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-\frac{3}{2}y +3)[/tex]
Now, taking LCM of: 5,3,4,2 we get 60
Now multiply 60 with each term inside the bracket
[tex]2(\frac{3}{5}x\times60+\frac{2}{3}y\times60-\frac{1}{4}x\times60-\frac{3}{2}y\times60 +3\times60)\\2(3x\times12+2y\times20-1x\times15-3x\times30-3\times60)\\2(36x+40y-15x-90y-180)[/tex]
Now, combine like terms
[tex]2(36x-15x-90y+40y-180)\\2(21x-50y-180)[/tex]
Now, multiply all terms with 2
[tex]42x-100y-360[/tex]
So, Simplifying the expression: [tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)[/tex] we get [tex]\mathbf{42x-100y-360}[/tex]
ben jogged 4 1/2 miles in 1 1/4 hours at a constant rate. how far did ben jog in one hour
(the answer on top)
Answer:
b is the answer
Step-by-step explanation:
4 1/2 divided by 1 1/4 = 3 3/5
The distance Ben jogged in one hour is 3 3/5 miles. The correct option is B. 3 3/5 miles
Distance, Rate, and TimeFrom the question, we are to determine how far Ben jogged in one hour. That is, how far he jogged per hour.
This means we should determine the rate
Using the formula,
Rate = Distance / Time
From the given information,
Distance = 4 1/2 miles
Time = 1 1/4 hours
∴ Rate = 4 1/2 ÷ 1 1/4
Rate = 3 3/5 miles/hour
Hence, the distance Ben jogged in one hour is 3 3/5 miles. The correct option is B. 3 3/5 miles
Learn more on Calculating Rate here: https://brainly.com/question/20654411
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omg someone do these for me and ill give brainliest please im rushing
1. 74 tens
2. 3, 7, 11
3. 4 2 5
4. 23
5. 560
6.440
7. Sum
8. 1 dollar and 40 cents
9. 84 cents
Hope this helps plz mark brainly :)
Answer:
1. 74
2. 3, 7, and 11
3. 4, 2, and 5
4. 20.2307692308
5. 560
6. 440
7. sum
8. Chloe
9. 84 cents
A bear cub walks
5/6 miles in 5/12
age
hours. What is its
speed in terms of miles per hour?
Answer:use math(way
Step-by-step explanation
It help
Answer: 2 miles per hour
Step-by-step explanation: Reduce the common factor which would be 5 and then you divide and you get 2
Jenn wants to measure the height of a tree. She walks exactly 125 feet from the base of the
tree and looks up. The angle of elevation from the ground to the top of the tree is 33º. How
tall is the tree? Which equation would be used to solve this problem?
Answer:
[tex]81.2\:\mathrm{ft}[/tex]
Step-by-step explanation:
We can form a right triangle and use basic trig for a right triangle to solve this problem:
[tex]\tan33^{\circ}=\frac{h}{125}[/tex], where [tex]h[/tex] is the height of the tree.
Solving, we get:
[tex]h=125\cdot \tan 33^{\circ},\\h\approx \fbox{$81.2\:\mathrm{ft}$}[/tex].
A real estate agency an agent salty house for 313,000. The commission rate is 4.5 for the real estate agency in the commission rate for the agent is 20% of the amount the real estate agent gets. How much did the agency make on the house? How much did the agent earn in comission
Answer:
313000/100 X 4.5 = 14085
14085/100 X 20 = 2817
14085 - 2817 = 11268
agency = 11268
agent = 2817
Paul volunteered at the senior center for 3 9/10 hours on Saturday and 5 1/6 hours on Sunday. How many hours did Paul volunteer at the senior center on both days?
Answer:
Saturday 3 9/10 hours = 60/10 = 6, 6 X 9 =54
3 hours 54 mins
Sunday 5 1/6 hours = 60/6 = 10, 10 X 1 = 10
5 hours 10 mins
3 hrs 54 mins + 5 hrs 10mins = 9 hrs 4 mins
Answer:9 4/10
Step-by-step explanation:
PLEASE HELP! WILL MARK BRAINLIEST