Answer:
1) x = 14
2) x = 25
Step-by-step explanation:
1)
3x - 2 + 50 = 90
3x + 48 = 90
3x = 42
x = 14
2)
4x + 2 + 78 = 180
4x + 80 = 180
4x = 100
x = 25
57.4g of sugar is needed to make 7 cakes. How much sugar is needed for 9 cakes?
Answer:
73.8 g
Step-by-step explanation:
57.4/7 = 8.2 per cake
8.2 x 9 = 73.8 g
Answer:
I'm pretty sure the answer would be 73.8g
Step-by-step explanation:
Maria has two options for buying a new computer. She can pay $750 right now, or she can pay $24.99 each month for 3 years. How much more will Maria pay if she makes payments for 3 years?
Answer:
$149.64
Step-by-step explanation:
Recall that there are 12 months in a year. Thus, 3 years would be 36 months.
$24.99 times 36 months comes to $899.64. To determine how much more Maria will pay by making monthly payments is $899.64 less $750, or $149.64.
Which statement about the two triangles is correct?
Answer:
The second choice
Step-by-step explanation:
i dunno how to explain it
PLEASE I ACTUALLY NEED HELP ;(
Answer:
[tex]\sqrt{18x^4y}[/tex]Step-by-step explanation:
3x²[tex]\sqrt{2y}[/tex] = [tex]\sqrt{(3x^2)^22y}[/tex] =[tex]\sqrt{18x^4y}[/tex]Answer:
√{18x⁴y}=√?
?=18x⁴y is your answer
What is the length of the missing leg?
Find the slope of the line graphed
Answer:
I believe it is 2
Write the fifteenth term of the binomial expansion of (a^2+b)^20
Answer:
The fifteenth term of the binomial expansion of [tex](a+b)^{20}[/tex] is [tex]38760\cdot a^{6}\cdot b^{14}[/tex].
Step-by-step explanation:
Let be a binomial of the form [tex](a+b)^{n}[/tex], where [tex]a, b\in \mathbb{R}[/tex] and [tex]n\,\in\mathbb{N}^{+}[/tex]. The expansion of this polynomial is defined below:
[tex](a+b)^{n} = \Sigma\limits_{k=0}^{n}\,\frac{n!}{k!\cdot (n-k)!}\cdot (a^{n-k}\cdot b^{k})[/tex] (1)
Where:
[tex]n[/tex] - Number of terms of the expanded polynomial.
[tex]k[/tex] - Index associated to [tex]k[/tex]-th term of the expanded polynomial.
For all [tex]n[/tex]-th binomial, we a sum of [tex]n+1[/tex] terms. If the given binomial has a term of [tex]20[/tex], then we have 21 terms and the fifteenth term of the polynomial corresponds to the [tex]14[/tex]-th term. Then, the fifteenth term of the binomial is:
[tex]c_{14} = \frac{20!}{14!\cdot 6!}\cdot (a^{6}\cdot b^{14})[/tex]
[tex]c_{14} = 38760\cdot a^{6}\cdot b^{14}[/tex]
The fifteenth term of the binomial expansion of [tex](a+b)^{20}[/tex] is [tex]38760\cdot a^{6}\cdot b^{14}[/tex].
3. Which among the statements is true?
a. Every parallelogram is a rhombus.
b. Every rectangle is a square.
c. Every rhombus is a rectangle.
d. Every square is a rectangle.
a silo is a building shaped like a cylinder used to store grain the diameter of a particular silo is 6.5 meters and the height of the silo is 12 meters
Answer:
V=pi(3.25)^2(12)
Step-by-step explanation:
The “pi” is an actual sign
2) A circle has an area of 121 ñ cm. Find its circumference. (Round your answer to the
nearest tenth.).
Answer:
If the area is 121 cm the answer is 38.99 if its 12 cm then the answer is 12.28
Step-by-step explanation:
Im not sure if correct but i tried
Please help! I need this fast!
Answer:
E. (6,4
F. (4,6)
G. (3,0)
H. (0,3)
Step-by-step explanation:
suppose the income tax rate is 4% determine the amount of money remaining after paying income tax on an income of $20,000
Answer:
$19200
Step-by-step explanation:
20,000*0.96=19200
Alina drew a model of a square pyramid. The dimensions of the model are
shown in the diagram.
Answer:
400
Step-by-step explanation:
Volume=⅓*B*h
B=10×10=100
Bh=100×12=1200
then divide by
1200÷3=4
The volume of a pyramid with a square base is 400 cm³.
What is a pyramid?A pyramid is a structure where outer surfaces are triangular and converge to a point at the top.
The volume of a pyramid with a square base is given as:
Volume = 1/3 x base area x height
We have,
The volume of a pyramid with a square base is given as:
Volume = 1/3 x base area x height
Now,
Height = 12 cm
Base area = 10² = 100 cm²
Now,
Volume.
= 1/3 x 100 x 12
= 400 cm³
Thus,
The volume of a pyramid with a square base is 400 cm³.
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What is the slope of the line that passes through the points (-10, 9) and (9, 9)
Step-by-step explanation:
the answer is on foto
y = 9
Solve for x. -4x + 6(6– 2x) = -7x – 36 Select one:
a. -7
b.15
c.8
d.3
Answer:
8
-4x+6(6-2x) = -7x - 36
-4x+36-12x = -7x-36
-16x+36 = -7x-36
-16x +7x = -36-36
-9x = -72
x = 72/9
x = 8
Each side of a square is 3inches long.a student increases the length of each side by 3inches.the are of the new Square is how many times the area of original square?
A=2
B-3
C=4
D=a
How much interest does a $407 investment earn at 6% over seven years?
Answer:
$204.98
Step-by-step explanation:
407(1+0.06)^7
611.98
611.98-407
204.98
So it made $204.98
Hope this helps
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Answer:
What is your question
Step-by-step explanation:
I do not see a question
Answer:
where is the question at?
Step-by-step explanation: I don'tsee it
Oliver lives in a state with no state income tax. He pays $180 in payroll tax each week. If the federal income tax is 0.75 of the payroll tax, how much are the other taxes?
Answer:
The other taxes are $135.
Step-by-step explanation:
From the information provided, you know that Oliver pays $180 in payroll tax and that the federal income tax is 0.75 of the payroll tax, so in order to find how much are the other taxes you have to calculate the 0.75 of the payroll tax Oliver pays:
180*0.75=135
According to this, the answer is that the other taxes are $135.
2. Find the value of x to the nearest degree.
A) 68
B) 22
C) 24
D) 66
Answer:
it would be 66 I hope this helps.
6
B
42°
3.1 m
32°
A
D
С
Calculate the length of AB.
Show your working clearly.
Give your answer correct to 3 significant figures.
Answer:
D i did the test and got a 100
Step-by-step explanation:
This is the graph of f(x). What is the value of f(3)?
Answer:
Option C. 8 will be your answer
Step-by-step explanation:
hope it helps you...
have a great day!!!
I need some help. Can someone assist me with this?
Answer:
x = 12
WN = 28
Step-by-step explanation:
SO = WN and SO = 2WI
3x - 8 = 2(x + 2)
3x - 8 = 2x + 4
3x - 2x = 4 + 8
x = 12 now replace x with 12 in the first equation given
3x - 8 = 3×12 - 8
36 - 8 = 28
The Pythagorean Theorem states that, in a right triangle, the square of the length of the hypotenuse equals the
sum of the squares of the lengths of the legs. Which of these models support the validation of this theorem?
Point D is in the interior of ∠ABC. What is m∠DBC?
37.5 degrees
we know angled like this always have 180 degrees total between the 2. which means we can set up a little equation to solve for x. The equation is (3x+22)+(x-4)= 180. Initially we can take the solid numbers (22 and -4) and get rid of them by taking them to the 180. 180- 22 is 158. 158 + 4 is 162. now we have 3x + x = 162. we combine like terms. means we end up with 4x =162. We now divide by 4 which means we get 40.5. Now we know x is 40.5. Now dbc is just 40.5- 4 which is 37.5.
The measure of angle ∠DBC is,
⇒ ∠DBC = 35.5°
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Given that;
Point D is in the interior of ∠ABC.
And, ∠ABD = (3x + 22)°
⇒ ∠DBC = (x - 4)°
Clearly, Both angle make a linear pair.
Hence, We get;
⇒ ∠ ABD + ∠DBC = 180°
⇒ (3x + 22) + (x - 4) = 180°
⇒ 3x + 22 + x - 4 = 180
⇒ 4x + 18 = 180
⇒ 4x = 180 - 18
⇒ 4x = 162
⇒ x = 162/4
⇒ x = 40.5
Hence, The measure of angle ∠DBC is,
⇒ ∠DBC = (x - 4)°
⇒ ∠DBC = (40.5 - 4)°
⇒ ∠DBC = 35.5°
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What is the value of x
Answer:
x = 9
y = 5
Step-by-step explanation:
<N and < M are opposite equal sides. So they are equal as well. In addition, the base is equal to the other 2 sides. That means you are dealing with an equilateral triangle. All the angles are equal to 60 degrees.
7x - 3 = 60 degrees Add 3 to both sides
3 3
7x = 63 Divide by 7
x = 63/7
x = 9
Just for the sake of completeness, we'll find y
11y + 5 = 60 Subtract 5 from both sides
-5 -5
11y = 55 Divide by 11
y = 55 /11
y = 5
What is the rate of change in the equation?
Answer:
-5
Step-by-step explanation:
The rate of change is normally the number not attached to X so in this equation it is-5.
a television regularly cost $180 but is on sale for 40% off there is a 5% sales tax on the sales price how much does the television cost after the discount and sales tax
Answer:
$102.60
Step-by-step explanation:
i am pretty sure this is correct
A house painter mixed 5 gal of blue paint with every 9 gal of yellow paint in order to make a green paint. Which ratio of gallons of blue paint to gallons of yellow paint will make the same shade of green paint?
A. 30:54
B. 6:10
C. 10:45
D. 27:15
If your running a race and you passed the person in second place what place would you be in now?
Answer:
the answer is first place
Answer:
Second place
Step-by-step explanation:
Because that person was in SECOND PLACE and you were behind them, you two switched because you got ahead of them, but you are NOT in FIRST place, because there is still one person in front of you. Good luck!