Answer:
30
Step-by-step explanation:
The sum of the angles of a triangle is 180°. The second angle is 35° more than the first angle the third angle is 25° more than the first angle what are the three angles
Answer:
The three angles are 40°, 75°, 65°
Step-by-step explanation:
Assume that the first angle is x
∵ The second angle is 35° more than the first angle
∴ The second angle is x + 35
∵ The third angle is 25° more than the first angle
∴ The third angle is x + 25
∵ The sum of the angles of a triangle is 180°
→ Add the three angles and equate the sum by 180°
∵ x + x + 35 + x + 25 = 180
→ Add the like terms in the left side
∴ (x + x + x) + (35 + 25) = 180
∴ 3x + 60 = 180
→ Subtract 60 from both sides
∴ 3x + 60 - 60 = 180 - 60
∴ 3x = 120
→ Divide both sides by 3 to find x
∴ x = 40
→ Find each angle by substitute x by 40
∵ First angle = x
∴ The first angle = 40°
∵ Second angle = x + 35
∴ The second angle = 40 + 35 = 75°
∵ Second angle = x + 35
∴ The third angle = 40 + 25 = 65°
∴ The three angles are 40°, 75°, 65°
A government estimates the cost to design new radar technology over a period of $m$ months. The government estimates $840,000 for equipment, $15,000 for software, and $40,000 per month for wages. Use an algebraic expression to find the total cost the government estimates when the project takes 16 months to complete.
Answer:
$1,495,000
Step-by-step explanation:
From the above, we can infer that the first two costs for equipment and software are fixed cost, while wages is the cost that is influenced by the number of months (m).
The above implies that we would multiply number of months 'm' with $40,000.
= 840,000 + 15,000 + 40,000m
Where month (m) = 16
= 840,000 + 15,000 + 40,000(16)
= 840,000 + 15,000 + 640,000
= $1,495,000
Therefore, the total cost is $1,495,000
What is the value of a if a is equal to a×a×a=a+a+a
Answer:
a = ±sqrt(3)
Step-by-step explanation:
a×a×a=a+a+a
Simplifying each side
a^3 = 3a
Divide each side by a
a^3 /a = 3a/a
a^2 = 3
Take the square root of each side
sqrt(a^2) = ±sqrt(3)
a = ±sqrt(3)
Answer:
nope its not equal
a×a×a=a³, but a+a+a=3a
so, a³≠3a
Step-by-step explanation:
i hope this helps....can i have brainliest
MERRY CHRISTMAS!!!......ENJOY UR HOLIDAY!!!
I WILL MARK BRAINIEST
PLEASE HELP ASAP
Answer:
3
Step-by-step explanation:
math
If 2 bushels of corn weigh 112 lb, how much do 8.5 bushels of corn weigh?
Answer:
476 lb
Step-by-step explanation:
112/ 2 = 56
8.5 times 56
A square rug has a side length of x. A rectangular rug has a length that is 4 yards longer than the square rug and a width that is 2 yards shorter than the square rug. If the areas of the two rugs are equal, what is the length of the rectangular rug?
Answer:
8
Step-by-step explanation:
X²=(x+4)(x-2)
x²=x²+2x+4x-8
x²=x²+2x-8
x²-x²-2x=-8
2x=8
x=4
so the square rug is 4x4 and the rectangular rug is 8x2
Declan wants to mail 28 drawings to his Grandma. If he can fit 3 drawings in each envelope, how many envelopes will he need to mail all the drawings
Answer:
10 envelopes
Step-by-step explanation:
What we know:
- There are 3 drawings for each envelope
- There are 28 drawings in total
To find out the number of envelopes Declan would need, we divide 28 by 3 (check the picture attached).
28÷3=9 R1
28 divided by 3 gives us 9 with a remainder of 1, which means if Declan had 9 envelopes, he would be able to fit 3 drawings in each with 1 drawing left over. He would need a 10th envelope to use for the last drawing.
Therefore, Declan would need 10 envelopes to mail all the drawings to his grandma.
I hope this helps! Happy holidays :)
A large bucket holds 5 gallons of water, which is about the same as 19 liters of water. A small bucket holds 2 gallons of water. About how many liters does it hold? Show all of your work.
Answer: It will hold 7.6 Litres
Step-by-step explanation:
Step 1
We know that Converting Gallons to Litres, we have that
I gallon = 3.78541
So from the question
A large bucket = 5gallons which in Litres became
5 x 3.78541=18.927 rounded up to 19litres.
-- Also IF 5 Gallons = 19 Litres
Then 1 Gallon = 19/5= 3.8 Litres
Step 2
IF large bucket of 5 gallons = 19 Litres ,
A small bucket of 2 gallons of water = 2 x 19/5= 38/5 =7.6 Litres
| 5t-1 |=6
Show all work
Answer:
t = 1.4
Step-by-step explanation:
If you multiply 5 and 1.4 together, you get 7. Then, you do 7 - 1, and you get 6.
The inverse operation symbol things don't matter if the answer you get inside the two vertical bars is positive.
Answer: t=1
Step-by-step explanation:
|5t-1 |=6
5t+1=6
5t=5
t=1
Select the correct similarity statement
Answer:
what is the question and choices?
Step-by-step explanation:
then maybe I can help
Each of the letters of the word "CHANCE" is written on a slip of paper and one slip is randomly drawn. What is the probability of drawing a letter "C" ?
Answer:
6 letters in CHANCE
So, 1/6
Step-by-step explanation:
Write the expression in simpleist form PLZ WILL GIIVE BRAINLIEST
1 + x + 6x -6
1. 28x - 5
2. 24x - 5
3. 7x - 5
4. 7x - 6
Answer:
3. 7x-5
Step-by-step explanation:
x+ 6x will make it 7x then -6 plus 1 will make it a -5 so t will be 7x-5.
What is the image point of (6, 7) after a translation left 5 units and up 3
units?
Submit Answer
attempt 1 out of 3
Answer:
the new point would be (1, 10).
Step-by-step explanation:
if you start with the point (6, 7) and go left 5 units and up 3 units, then the new point you land on is (1, 10) as you can see in the picture below. hope this helped!
solve tje equation for t. Round the answer off to two places after the decimal point.
The circumference of a circular tablecloth is 160 inches, Will the tablecloth cover
a table with diameter 52 inches?
Answer:
D= 50.92 in
Step-by-step explanation:
Step one:
Given data
The circumference of a circular tablecloth is 160 inches
We want to know if the circular table cloth can also cover a table of diameter 52 in
Step two:
let us solve for the diameter of the table cloth given that the circumference is
160in
circumference
[tex]C= 2 \pi r[/tex]
[tex]160= 2*3.142*r\\\\160= 6.284r[/tex]
divide both sides by 6.284
[tex]160/6.284= r\\\\r=25.46 in[/tex]
The diameter of the table cloth is
[tex]=25.46*2\\\\=50.92 in[/tex]
The Table cloth cannot cover the table because the diameter of the cloth is not up to the diameter of the table
aight can you guys help, it’s a one-step equation and i’m smol brain, and can you give me a step-by-step cuz i forgot how to do it, thank youuuuu<3
Answer:
16
Step-by-step explanation:
The variable a minus 10 equals 6. If you substituted a for 16, and subtracted 10, you'd get 6. Substituting the rest of the numbers and subtracting 10 wouldn't give you 6.
Susan wanted to share her 37 seashells with her two younger brothers. If she divided her seashells between the three of them, how many would each person get?
Given :
Susan wanted to share her 37 seashells with her two younger brothers.
To Find :
If she divided her seashells between the three of them, how many would each person get.
Solution :
Let, each person will get x seashells.
So,
[tex]x = \dfrac{\text{Total number of seashells}}{\text{Number of persons}}\\\\x = \dfrac{37}{3}\\\\x = 12.333[/tex]
But as we know seashells cannot be in decimal.
Therefore, each person will get exactly 12 shells.
Anton has 3 8/7 cups of syrup that he serves with his pancake orders. He uses 2/3 cup of syrup for each pancake order. What is the maximum number of complete pancake orders that Anton can serve with the syrup he has?
Answer:
6 3/14 pancake order s
Step-by-step explanation:
The question above is calculated as:
2/3 cup of syrup = 1 pancake order
3 8/7 cups of syrup = x
Cross Multiply
2/3 × x = 3 8/7 × 1
x = 3 8/7 ÷ 2/3
x = 29/7 ÷ 2/3
x = 29/7 × 3/2
x = 87/14
x = 6 3/14 order
The maximum number of complete pancake orders that Anton can serve with the syrup he has is 6 3/14 pancake orders
Ava buys a book for $8.85 .she pays $10 bill.How much chang will see get?
Given:
Ava buys a book for $8.85 .
She pays $10 bill.
To find:
The amount of change she will get.
Solution:
We have,
Price of book = $8.85
Amount she pays = $10
Now,
Amount of change = Amount she pays - Price of nook
Amount of change = $10 - $8.85
Amount of change = $1.15
Therefore, she will get $1.15 as change.
Answer:
1.15
Step-by-step explanation:
what answee is it?? :))))
Step-by-step explanation:
The answer is C
We can easily eliminate B and D since Ms. Macdonald isn't starting with 3 rabbits.
We can also eliminate choice A, because 5 to the 3rd power isn't 15.
5 to the 3rd power is 125, therefore the choice is C
Gab is able to serve 9 serving of penne pasta to 16 people. How many servings does he have to make for a party of 80 people
Rewrite the function by completing the square.
f(x) = x^2- 2x - 95
Answer:(x-1)^2 -96
Step-by-step explanation:
Not sure if this is correct but I included the workings out
A recipe calls for 3 cups of sugar and 9 cups of water. How many should be used with 2 cups of sugar?
Answer:
6 cups of water
Step-by-step explanation:
A recipe calls for 3 cups of sugar and 9 cups of water. How many should be used with 2 cups of sugar?
The question above, is solved below:
3 cups of sugar = 9 cups of water
2 cups of sugar = x
Cross Multiply
3x = 9 × 2
x = 18/3
x = 6
Hence, 2 cups of sugar = 6 cups of water
. Mrs. Nunn pours 3 juice boxes into a bowl to make punch. Each juice box holds 236 milliliters. How much juice does Mrs. Goldstein pour into the bowl? *
Answer:
708 milliliters
Step-by-step explanation:
There are 3 juice boxes and each contain 236 milliliters of juice. So 236 + 236 + 236 = 708
The difference btwn increasing a number by 20% and decreasing the same number by15% is 14 what is the number?
Answer:
The number is:
[tex]n = 40[/tex]Step-by-step explanation:
Let 'n' be the number
Increasing a number by 20% = (n + n×20/100)Decreasing a number by 14% = (n - n×15/100)As the difference between increasing a number by 20% and decreasing the same number by15% is 14.
Thus, the expression becomes
[tex]\left(n\:+\:\frac{n}{5}\right)\:-\:\left(n\:-\:\frac{3n}{20}\right)\:=\:14[/tex]
[tex]n+\frac{n}{5}-n+\frac{3n}{20}=14[/tex]
[tex]\frac{7n}{20}=14[/tex]
Multiply both sides by 20
[tex]\frac{7n}{20}\cdot \:20=14\cdot \:20[/tex]
[tex]7n=280[/tex]
Divide both sides by 7
[tex]\frac{7n}{7}=\frac{280}{7}[/tex]
[tex]n=40[/tex]
Thus the number is:
[tex]n = 40[/tex]HELPPPPPPP PLEASEEEE PLEASEEEE PLEASEEEE PLEASEEEEE PLEASEEEEE
Answer:
1. quadrant 3
2. quadrant 2
3. L (-1,2) M (-3,1) N (-2,5)
4. L (3,0) M (1,-1) N (2,3)
Answer:
1. Quadrant III
2. Quadrant II
L=(-1,2) M=(-3,1) N=(-2,5)
3. L=(3,-4) M=(1,-3) N=(2,-7)
Step-by-step explanation:
Find the sum
(-8z+4)+(8z-7)
Answer:
-3
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
(-8z+4)+(8z-7)
=-8z+4+8z-7 [-8z and +8z cut out]
=+4-7
=-3
\sqrt{2x^2}\cdot \sqrt{4x}
The costs of cookies at store A shown in the graph. The cost y for x cookies at store B is represented by the equation y = 0.30x. Which of the following statements is true?
Answer:
H
Step-by-step explanation:
question 1: The bank agrees to give you a loan of $4,000 with 1% simple interest over 2 years. How much will your monthly payments be?
question 2: The bank agrees to give you a loan of $3,000 with 2% simple interest over 1 year. How much will your monthly payments be?
Answer:
Its below
Step-by-step explanation:
1. 2000
2. 233