Answer:
x = 14
<CAD = 42degrees
Step-by-step explanation:
Since all the rays meet at a point, the sum of all the angles at the point will be 360 degrees, since angle at a point is 360degrees
Taking the sum of all the angles and equating to 360, we will have;
<BAC + <DAE + <BAE + <CAD = 360
60+90+12x+3x = 360
150 + 15x = 360
15x = 360 - 150
15x = 210
x = 210//15
x = 14
Get <CAD
Since <CAD = 3x
<CAD = 3(14)
<CAD = 42 degrees
Hence the measure of angle CAD is 42degrees
Becky borrowed $580.00 from the bank. The loan had a 13.5% simple annual interest rate, and she paid off the bill over 1.5 years. What was the total amount, including interest, Becky paid for the loan?
Answer:
697.45
Step-by-step explanation:
interest for the first year = 13.5 % of 580 = 78.3
for 0.5 year, it will be 78.3 /2 =39.15
1year + 0.5 year = 78.3 + 39.15= 117.45
add that to borrowed amount to get total amount paid
117.45+ 580= 697.45
Solve for k, the constant of variation, in an inverse variation problem where y=17 x=6
Answer:
k = 102
Step-by-step explanation:
Inverse variation is represented as follows:
y = k/x
Find k by substituting 17 for y and 6 for x:
17 = k/6
Multiplying both sides by 6 results in k = 102
Paul finished his 800 meter race in 2 minutes and 2 seconds. Jeff finished in 121 seconds. Who finished first? (PLESES SHOW WORK)
Answer:
Jeff finished first
Step-by-step explanation:
To solve this equation, I can either converts 2 minutes 2 seconds to seconds or convert 121 seconds to minutes
CONVERT 2 MINUTES 2 SECONDS TO SECONDS
60 seconds = 1 minutes
to convert 2 minutes 2 seconds to seconds, multiply 2 minutes by 60 and then add 2 seconds to it
2 x 60 = 120 seconds
120 seconds + 2 seconds = 122 seconds
Paul finished in 122 seconds while Jeff finished in 121 seconds. Jeff finished first
CONVERT 121 SECONDS TO MINUTES
60 seconds = 1 minutes
To convert 121 seconds to minutes, we have to divide by 60
121/60 = 2 minutes 1 second
Paul finished the race in 2 minutes 2 seconds while eff finished the race in 2 minutes 1 second. Jeff finished first
A Write an equation for the hanger diagram and then us the sketch to show how to solve the equation algebraically.
Answer:
3x + 1 = 7
Step-by-step explanation:
3x + 1 = 7 Subtract 1 from both sides
3x = 6 Divide 3 from both sides
x = 2
7h + 4 > 5 – 5h solve the inequality
Step-by-step explanation:
7h + 4 > 5 - 5h
7h + 5h > 5 - 4
12h > 1
h > 1/12
Answer:
h>1/12
Step-by-step explanation:
Whats the answer to this question plz
1. x=13
2. m<OME=128
Step-by-step explanation:
1. 5x=65
x=65÷5
x=13
2. 4x+2x-12=180
6x-12=180
6x=180+12
6x=192
×=32
<OME=4×(32)
<OME=128
Answer:
1) x=13
2)m<OME=128.
Step-by-step explanation:
1) 5x=65
x=65:5
x=13
2) 4x+2x-12=180
6x-12=180
x=32.
I’m super confused on what this means
martha measured a building and made a scale drawing. the scale she used was 1 inch = 7 feet. if the actual length of the building was 84 feet, how long is the room in the drawing?
(0,6) and the slope is 3
Answer:
Step-by-step explanation:
y-intercept (c)= 6
slope (m) = 3
Writing in slope intercept form
y = mx + c
y = 3x + 6
hope it helps :)
What is the value of x in the figure? Enter your answer in the box.
Answer:
65
Step-by-step explanation:
2{x-3}+3{x+3}={-5} answer plz
Answer:
x = -8/5 = -1 3/5
Step-by-step explanation:
2{x-3}+3{x+3}={-5}
Expanding the brackets:
2x - 6 + 3x + 9 = -5
5x = -5 + 6 - 9
5x = -8
x = -8/5.
Answer:
x=-8/5 is your answer
Step-by-step explanation:
2{x-3}+3{x+3}={-5}
2x-6+3x+9=-5
5x+3=-5
5x=-5-3
x=-8/5
At a movie theater, the size of popcorn bags decreased by 20%.
If the old bags held 15 cups of popcorn, how much do the new bags hold?
Answer:
12 cups
Step-by-step explanation:
I'm pretty sure you just take 20% of 15.. which is 3 and then you would do 15-3 which is 12. Hope this helps! <3
Answer:
12 cups
Step-by-step explanation:
if the volume decreases by 20%, that means 80% is left.
Solve by 15 x .8
What is YZ?
Enter your answer as a decimal in the box.
Answer:
YZ = 12.2
Step-by-step explanation:
YZ bisects XW and VW, therefore it is half of XV
24.4/2 = 12.2
-2 1/4 = r - 4/5
What is r?
Answer:
-29/20
Step-by-step explanation:
-9/4 = r - 4/5
-r = -4/5 + 9/4
-r = 29/20
r = -29/20
What is the slope of the line? Type fractions as y/x).
Answer:
Slope is (1, 2)
find the value of given expression
[tex] \sqrt{1221 \times 1221} [/tex]
Answer:
[tex]1221\sqrt{x}[/tex]
Step-by-step explanation:
1221 x 1221 = 1490841
square root of 1490841 is 1221
Answer:
[tex]1221[/tex]
Step-by-step explanation:
[tex] \sqrt{1221 \times 1221} \\ = 1221[/tex]
The area of the entire figure is 1 square unit
Answer:
Area of shaded part = 0.42 unit²
Step-by-step explanation:
Given:
Length of shaded part = 0.7 unit
Width of shaded part = 3 x 2 = 0.6 unit
Find:
Area of shaded part
Computation:
Area of rectangle = L x B
Area of shaded part = 0.7 x 0.6
Area of shaded part = 0.42 unit²
Plz help me do this. Thank you in advance. Do the ordered pairs as well :)
Answer:
y=3*(-2)
y=--(3*2)
y=-6
y=-6
y=0x-6
y=0x+(-6)
y=0x+(-6),m=0
y=0x+(-6),m=0,b=-6
m=0,b=-6
y=3x(-2)
Let x be the domain values.
Let x = -1
y = 3(-1) - 2
y = -6 - 2
y = -8...range
Our first ordered pair is (-1, -8).
Let x = 2
y = 3(2) - 2
y = 6 - 2
y = 4...range
Our second ordered pair is (2, 4).
Let x = 4
y = 3(4) - 2
y = 12 - 2
y = 10...range
Our third ordered pair is (4, 10).
Done.
.
Patricia’s dog, Max, weighs 6.75 kilograms. There are approximately 0.45 kilograms in 1 pound. Which measurement is closest to the number of pounds Max weighs?
hurry ....
Answer: 14.88 is the answer
Step-by-step explanation:
Josie makes fruit punch by mixing fruit juice and lemonade in the ratio 3:2
She needs to make 35 litres of punch for a party.
How much of each ingredient does she need?
Fruit juice =
Lemonade =
Answer:
fruit-21
lemonade -14
Step-by-step explanation:
to find out how many parts you have you add 3 and 2 together, this gives you 5, 36÷5=7 so for every 1 of each you have 7, 3×7=21, 2×7=14
Answer:
Step-by-step explanation:
F/L=3/2
F=3L/2
F+L=35, using F found above makes this become
3L/2+L=35
3L+2L=70
5L=70
L=14, since F=3L/2
F=3(14)/2
F=21
So she needs
Fruit juice=21 liters
Lemonade=14 liters
asap please help for brain list
If a+b = c which of the following statements is true?
b-c=a
a-c=b
c-a=b
c+b= a
Answer:
c-a=B
Step-by-step explanation:
if A+B=c then you subtract a from c and you get b
Answer:
C. c - a = b
Step-by-step explanation:
a + b = c
There are many ways to rearrange this equation. This can be done through addition and subtraction.
First, let's handle a. a is positive; therefore, we should subtract it.
a + b = c
b = c - a
Next, let's handle b. b is also positive; therefore, we should subtract it.
a + b = c
a = c - b
Finally, we will handle c. c is once again positive; therefore we should subtract it. However, it is the only variable on the right side, which would leave 0. This is not an option, so we will not look at this.
From our options, we can see that we have produced: b = c - a
This is an option, which has been written as c - a = b.
Therefore, your answer is C. c - a = b
Hope this helps!
I need help with this
Answer:
4th one
Step-by-step explanation:
Mr. Jackman gives $32.00 to his four children to share equally. How much will each of his children get?
Answer:
$8.00 per child
Step-by-step explanation:
Mr. Jackman= $32
Children= 4
per child= $32/4
$8.00
sin 2A + sin 5A-sin A÷
cos A + cos 2A + cos 5A
Answer:
Step-by-step explanation:
(sin5a-sina)+sin2a/(cos5a+cosa)+cos2a
=2cos3asin2a+sin2a/2cos3acos2a+cos2a
=sin2a(2cos3a+1)/cos2a(2cos3a+1)
=sin2a/cos2a
=tan2a
i bought a box of air head worth $7.98 there are 60 bars in the box, how much is 1 air head worth? please help
Answer:
$0.13
Step-by-step explanation:
7.98/60 = 0.133
round down to 0.13
Answer:
I believe the answer is $0.13
Step-by-step explanation:
You need to divide the price of the air heads ($7.98) by how many bars there were in the box (60). 7.98/60= 0.133
Then you round the answer to the nearest hundredth: 0.133= $0.13
Write the number name for 32.186
The price of a new gaming PC was increased from $280 to $364. By what percentage was the price of the gaming PC increased?
MY LAST QUESTION PLZ HURRY
Answer:
1.3%
Step-by-step explanation:
What fraction is equivalent to 135/15
The number line shows the distance between numbered points on the line
Which number is the same distance from 0 on the number line as 4
Mr. Milano organized the ordering of 80 sandwiches in all, 90% of which were turkey. How many turkey sandwiches did they serve?
Anser 75
Step-by-step explanation: