Answer:
x = 49
Step-by-step explanation:
This is an inverse relationship and it implies that, an increase in the value of one variable results in a subsequent decrease in the value of another variable.
Given the mathematical expression and data;
y = 1/√x
y = 7 and x = 64
First of all, we would find the constant of proportionality, k;
y = k/√x
7 = k/√64
7 = k/8
k = 7 * 8
Constant, k = 56
Now, to find the value of x when y = 8
y = k/√x
Substituting the values, we have;
8 = 56/√x
Cross-multiplying, we have;
8 * √x = 56
√x = 56/8
√x = 7
Taking the square of both sides, we have;
(√x)² = 7²
x = 49
(Please help) Find the area of the trapezoid.
12 in.
3 in.
in.
The area is
square inches.
trigonometry, find the missing side(s)
Answer:
x = 8.92 units
Step-by-step explanation:
From the triangle given in the picture,
Missing side of the triangle is the opposite side of the angle measuring 28°
And hypotenuse measuring 19 units has been given.
So, we will use sine ratio for the given angle.
sin(28°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
sin(28°) = [tex]\frac{x}{19}[/tex]
x = 19sin(28°)
x = 8.92 units
Sarah canceled her cable package. It cost $89 a month—for that price, she could subscribe to six streaming services, plus have an extra $5 left over each month!
a. Write an equation that you can use to find out how much each streaming service costs, assuming they all cost an equal amount.
b. How much does each streaming service cost?
Answer:
a.(89-5)divided by 6 = 14 b. 14
Step-by-step explanation:
a.
i will give a crown if you are the first one to answer and if you get it right and if you just get it right then i will i give you a full star rating and a thanks
Question
( 10 + 5x )7
Lets solve this easily.
So, basically, 10 + 5x is 15 but we still didn't
get rid of the x so therefore it's still 15x and then there's 7 so we multiply 15 x 7 giving us 105x.
Hence, the answer is.
(C), 70 + 35x is the answer.
-5 (4x-2) = -2(3+6x)
Answer:
2
Step-by-step explanation:
[tex] - 5(4x - 2) = - 2(3 + 6x)[/tex]
[tex]20x - 10 = 6 + 12x[/tex]
[tex]8x = 16[/tex]
[tex]x = 2[/tex]
Answer:
x=2
Step-by-step explanation:
-5(4x-2)=-6-12x
-20x+10=-6x-12x
-8x=-16 | : (-8)
x= 2
EFGH is a parallelogram. Find the measure of FG and EG
Answer:
FG = 44
EG = 80
Step-by-step explanation:
For FG:
1) 5z - 16 = 3z + 8
2) 5z = 3z + 24
3) 2z = 24
4) z = 12
5) 3(12) + 8 = 44
For EG:
1) 2w + 22 = 4w + 4
2) 2w = 4w - 18
3) -2w = -18
4) w = 9
5) 4(9) + 4 + 2w + 22 = 80
Pyramid A has height 5 1/2, and Pyramid B has height 2 3/4. A and B are similar. What is the ratio of their:
Lateral areas?
Volumes?
Answer:
Lateral areas have ratio of 4:1
Volumes have ratio of 8:1
Step-by-step explanation:
There is a rule in 3D geometry that when two solids are similar, and their edges are in the ratio of [tex]a:b[/tex], the ratio of any surface area type measure is always [tex]a^2:b^2[/tex] this includes the lateral area, which is just a surface area minus the base, which is not important for this problem. The ratio of volumes of those similar solids is in the ratio of [tex]a^3:b^3\\[/tex].
Now, to solve this, we need to find the ratio of any corresponding length of these similar pyramids. We have both the heights, so if we form a ratio of [tex]\frac{5\frac{1}{2} }{2\frac{3}{4} }[/tex] which if you simplify it, it is [tex]\frac{5.5}{2.75}[/tex], which is [tex]2[/tex]. The ratio of the heights are [tex]2:1[/tex].
Now we can apply those rules to this ratio, the ratio of lateral areas would then be [tex]2^2:1^2[/tex], which is [tex]4:1[/tex]. the ratio of volumes would be [tex]2^3:1^3[/tex], which is [tex]8:1[/tex]
Ms. allegre has 20 students in her class.There are 8 female students ,and the rest of the class are male . Which of these represents the fraction of the students who are female ? A. 8/24 B. 8/16 C.24/8 D.16/24
Answer:
all these answer choices are wrong? if there are 8 female students and 20 students total then it will be 8/20 which can be simplified to 4/10 or 2/5.
Step-by-step explanation:
8 females/ 20 students
At an amusement park, the cost of an adult's ticket is $22.50, and the cost of a child's ticket is $12.50. A group of 10 people purchased tickets for the amusement park, and paid a total of $155.00, excluding tax. How many children were in the group? How many adults were in the group?
Answer:
is there any more information you could give?
Step-by-step explanation:
**i promise to provide a real answer**
Answer:
7 children and 3 adults
Step-by-step explanation:
We should set up a system of equations for this problem, so let's say that:
x represents the number of children
y represents the number of adults
We know there is a total of 10 people, so:
x + y = 10
We also know that each adult had to pay $22.50 and each child had to pay $12.50. Their total amount paid is $155.00, so:
12.50x + 22.50y = 155.00
Simplifying this a bit:
12.5x + 22.5y = 155
Now, we can use the substitution method to solve this system of equations:
x + y = 10
y = 10 - x
12.5x + 22.5y = 155
12.5x + 22.5 (10 - x) = 155
12.5x + 225 - 22.5x = 155
12.5x - 22.5x = 155 - 225
-10x = 155 - 225
-10x = -70
x = [tex]\frac{70}{10}[/tex]
x = 7 children
Now we substitute back into the system of equations:
x + y = 10
7 + y = 10
y = 10 - 7
y = 3 adults
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Answer:
thanx
Step-by-step explanation:
Slope -7 and y-intercept (0,9)
Answer:
y=-7x+9
Step-by-step explanation:
Tell whether the angles are adjacent or vertical. Then find the value of x. (4x-25)
Answer:
i dont see the angles but heres how to solve for X
Step-by-step explanation:
In Hickory, North Carolina, the temperature was 20 degrees on a very cold
morning. If the temperature dropped 25 degrees, what is the temperature
now?
0 degrees
-5 degrees
-15 degrees
45 degrees
Answer:
-5 degrees! If you did 20-25 it would get you -5! Hope this helps :)
Step-by-step explanation:
Please help and explain the steps thank you!
Answer:
X》55
Step-by-step explanation:
hope it helps u
have a great day!!
Is it or not pls I need help
Answer:
no it is not
Step-by-step explanation:
i drew the line bc in order for it to be a function there would have to be only one point in each line
hopefully this helps :)
have a nice day !!
Complete this page STEP BY STEP
Answer:
Sample space is the collection of all possible events.
So, sample space of tossing two coins, S=(H,T),(T,T),(T,H),(H,H)
Step-by-step explanation:
Can you divide a donut into 5 pieces (doesn't have to be equal)? If so could you explain or draw a diagram. using 2 straight cuts or lines
Thanks :)
Answer:
no
Step-by-step explanation:
Its not possible to make 5 pieces with only 2 cuts. Anyway you use your two cuts would not result in 5 pieces
Answer:
No It's Not Possible To Make It 5 Pieces And 2 cuts
The lengths of the three sides of a triangle are
x cm, 2x cm and 3x cm. Its perimeter is 30 cm.
Evaluate x.
Answer:
Answer is 5
Step-by-step explanation:
x+2x+3x=30
6x=30
x=5
If the two lines below are perpendicular and the slope of the red line is -7,
what is the slope of the green line?
Answer:
1/7
Step-by-step explanation:
Formula for 2 perpendicular lines: m1 * m2 = -1,
where m1 is gradient of 1st line and m2 is gradient of 2nd line
Application:
-7 * m2 = -1
m2 = 1/7
Is D. the right answer
Please I need help
Answer:
Yes its correct!
Step-by-step explanation:
Please i need helpppp
Answer:
Step-by-step explanation:
A line can be defined by any two points on the line andhas the form
y=mx+b
Where m=slope and b=y intercept (value of y when x=0)
Slope is defined as
m=(y2-y1)/(x2-x1), we have points (0,7) and (1,4)
m=(4-7)/(1-0)
m=-3/1
m=-3 so the line is thus far
y=-3x+b, since we have the point (0,7) we know that b=7 so the line is
y=-3x+7
0.04 as a fraction (out of 100)
Answer:
4/100
Step-by-step explanation:
0.04 = 4/100
Please need help with this question
Answer:
Arc RP is 125 degrees, arc QS is also 125 degrees, and I think the ast one would be 110 degrees
Step-by-step explanation:
How many solutions does the equation −2a + 2a + 7 = 8 have?
One
Two
None
Infinitely many
Answer:
None.
Step-by-step explanation:
let's check it
- 2a + 2a + 7 = 8
7≠ 8
So there's no solution for the given equation.
The following system of equations is
y=--x+ 2
-
3 3
2x + 6y = 4
O equivalent
O independent
inconsistent
Answer:
equivalent
Step-by-step explanation:
when you divide the second one by 2 you'll get the first one
Kim's class has 16 boys and 8 girls. Which of the following represents the part of the class that is boys?
Answer:
2/3 of the class are boys
Step-by-step explanation:
16+8 is the total class which is 24 students.
To write it as a fraction it would be 16/24 (simplified is 2/3)
Solve for u.
u +5.96 = 9.39
Answer:
u equals 3.43 because you subtract from both sides.
Nathan is baking cookies and the recipe calls for 3 2/3 cups of water. He needs to make 1 whole batch and only 1/2 of another batch, for a total of 1 1/2 batches.
How much water will Nathan need to bake the cookies? Draw a diagram to show how much water will be needed.
Answer:
Around 5.5 or 5 1/2
Step-by-step explanation:
I think of a number, double it and the result is 15
The number in question is 7.5
Step-by-step explanation:
15 ÷ 2 = 7.5
Why divide by 2? Because dividing by 2 is the inverse of multiplying by 2. To double-check our solution, just multiply 7.5 by 2... and 15!!
X > -3
A.0
B. -8
C. -4
D. -5
F. - 1
Answer:
A and F are both correct
Step-by-step explanation:
0 and -1 are both greater than -3