Answer:
x=3
HI=18
Step-by-step explanation:
Equations
Suppose a segment with endpoints G, I. Somewhere in between lies point H, in such a way that:
GI = GH + HI
Every segment is given as an expression with variable x:
[tex]HI=6x[/tex]
[tex]GH=x^2+5x[/tex]
[tex]GI=7x+21[/tex]
Substituting:
[tex]7x+21=x^2+5x+6x[/tex]
Moving everything to the right side:
[tex]0=x^2+5x+6x-7x-21[/tex]
Swapping sides and simplifying:
[tex]x^2+4x-21=0[/tex]
Factoring:
[tex](x+7)(x-3)=0[/tex]
Solving, we have two possible solutions:
x=-7, x=3
The negative solution is discarded because it would result in negative lengths. Thus the solution is
x=3
Determine the length of HI:
HI=6x=6*3=18
HI=18
Represent the following sentence as an algebraic expression, where "a number" is the
letter x. You do not need to simplify.
The product of 2 and the difference of a number and 9.
Answer:
1
Step-by-step explanation:
2
What is the measure for the following angle?
Answer:
The answer is 80 degrees, I believe
I NEED HELP PLEASE HELP ME OUT IF YOU CAN
Answer:
The answer is D
Step-by-step explanation:
R and A both have the one line thingy and s and b have both the 2 line thingies. so <BAC=<SRT
Dave is making lemonade. For each 8 cups of water, he uses 3 cups of lemon juice and 2 cups of sugar. If w the number of cups of water, l is the number of cups of lemon juice, and s is the number of cups of sugar, which equations are correct?
A. l = 3/8 (w)
B. l = 3s
C. w= 4s
D. l = 2/3 (s)
Answer: A and C are correct.
Step-by-step explanation:
Look at the proportions. For 8 cups of water there are 3 cups of lemon juice. So L 3/8(w)
For 8 cups of water there are 2 cups of sugar. 8 is 4 times 2. So the amount of water is 4 times the amount of sugar. W= 4s
I need a tutor to help me
Answer:
I wish I was smart to help ya out but I'm not but if you need help there is a tutor that can help you out.
Wilbur and Mike are selling fruit for a school fundraiser. Customers can buy small boxes of grapefruit and large boxes of grapefruit. Wilbur sold 3 small boxes of grapefruit
and 14 large boxes of grapefruit for a total of $306. Mike sold 7 small boxes of grapefruit and 7 large boxes of grapefruit for a total of $252. What is the cost each of one
small box of grapefruit and one large box of grapefru
Answer:
both size boxes are $18 each
Step-by-step explanation:
Let x and y represent the costs of the small and large boxes, respectively. Then the two sales are ...
3x +14y = 306
7x +7y = 252
Doubling the second equation and subtracting the first, we have ...
2(7x +7y) -(3x +14y) = 2(252) -(306)
11x = 198
x = 18
y = 252/7 -x = 36 -18 = 18
A small box costs $18, as does a large box.
Answer:
both size boxes are $18 each
Step-by-step explanation:
Let x and y represent the costs of the small and large boxes, respectively. Then the two sales are ...
3x +14y = 306
7x +7y = 252
Doubling the second equation and subtracting the first, we have ...
2(7x +7y) -(3x +14y) = 2(252) -(306)
11x = 198
x = 18
y = 252/7 -x = 36 -18 = 18
A small box costs $18, as does a large box.
Find the slope of the line passing through each of the following pairs of po
(-6,0), (4,0)
Answer:
m = 0
Step-by-step explanation:
To find the slope of a line, use the equation:
m = y2 - y1 / x2 - x1
Then, substitute in numbers:
m = 0 - 0 / -6 - 4
m = 0 / -10
m = 0
Therefore, the slope of the line is 0, meaning it has zero slope.
ILL GIVE BRAINLIEST !
What can FOIL be used for?
Answer:
I can be used for thermal conductivity, Electrical conductivey, fake grills for teeth lol, ac conducters, and more
Step-by-step explanation:
Answer:
If you mean FOIL (as in first, outside, inner, last)
it is primarily used to distribute a factor properly.
Name the opposite rays:
C A T
Answer:
B.
Step-by-step explanation:
How to name a ray:
A ray is part of a line. It has an endpoint and contains all points of the line to one side of the endpoint. To name a ray, use two points on the ray. The first one must always be the endpoint. The second point is any other point on the ray. The arrowhead above the two letters always points to the right.
Option B is correct.
What’s 1+1=
A.4
B.3
C.2
D.1
Answer: C
Step-by-step explanation:
1 + 1 is 2. So imagine taking one banana and one more banana and adding them together count how many bananas you would have together. One banana plus another banana would equal 2 bananas. You can also imagine, or use other objects when adding. So therefore the answer is 2, which is letter C.
What's the slope and y-intercept of the 2 points: (1, -7) (-5, 0)
Answer:
Slope is -7/6. Y - intercept is -35/6
Step-by-step explanation:
Hope this helps!
Which of the following has an x-intercept of 2 and a y-intercept of -4?
Answer:
Second photo
I hope this helps!
Select all the angles that are supplementary to <2
Answer:
<4 and <1
Step-by-step explanation:
look and you'll see if you remove the lines between them there is a 180 degree angle.
Evaluate the expression. 1 + |7|. The answer is probably really easy i'm just dumb-
Answer:
8!
Step-by-step explanation:
I'm sure you're still really smart, you just don't understand it :)
Those two bars mean the absolute value of whatever's inside of them. Absolute value is always positive, so if you had 34 inside of the bars, it would still be positive 34.
Now that we know what those bars mean, the expression is really this:
1 + 7
I'm sure you can solve that :)
Answer: 8
Step-by-step explanation: The answer will be 8. Plus you're not dumb.
Simplify using Quotient
Rule
10^12 OVER 10^8
Answer:
[tex]10^4[/tex]
Step-by-step explanation:
All you have to di is subtract the exponents.
On Monday, Allie's bank account balance was -$29. On Tuesday, her account balance was less than It was
on Monday
Use absolute value to describe Allie's balance on Tuesday as a debt.
In this situation, |-$29 represents a debt of $||
On Tuesday, Allle had a debt of 2
than $29.
The equation of the line of best fit is y = 0.755x + 11.339. Based on the line of best fit, approximately how many customers are predicted to use a card to pay on a day when 90 customers pay by cash?
Answer:
79
Step-by-step explanation:
Answer:
79
Step-by-step explanation:
Solve the following equation. Check your solution. 5(x+1)=3x - 9
Answer:
x=-7
Step-by-step explanation:
If u plug in -7 it will make the equation true
This graph shows the solution to which inequality?
Answer:
y > 1/3 x - 2
Step-by-step explanation:
...
A rectangle has width x + 2 and length 2x - 1 what is it’s perimeter
Answer:
P=6x+2
Step-by-step explanation:
P=2L+2w
P=2(2x-1)+2(x+2)
P=4x-2+2x+4 can i get brainliest please?
P=6x+2
Please help i will give you brainlest
Answer:
8 the answer is 8 if u need help just tell me cuz i just did this quiz and i got a 90 and i dont think urs is diffrent then mine
Step-by-step explanation:
They need to raise $1,680 for travel expenses. Each chocolate bar is being sold for $2, and each box contains 30 chocolate bars. There are seven scholars on the team and they agree to each sell the same number of boxes. How many boxes will each scholar have to sell in order to raise enough money to cover the team's travel expenses?
Answer:
Each scholar have to sell 4 boxes in order to raise enough money to cover the team's travel expenses
Step-by-step explanation:
Let x denotes number of boxes to be sold by each scholar to raise enough money to cover the team's travel expenses.
Number of scholars = 7
Total number of boxes [tex]=7x[/tex]
Total number of chocolate bars [tex]=(7x)(30)=210x[/tex]
Price of 1 chocolate bar = $2
Price of [tex]210x[/tex] chocolate bars [tex]=210x(2)=\$420x[/tex]
Also,
Total amount to be raised for travel expenses = $1680
So,
[tex]1680=420x\\x=\frac{1680}{420}\\ x=4[/tex]
Therefore,
each scholar have to sell 4 boxes in order to raise enough money to cover the team's travel expenses
solve for c a(c-b)=d
Answer:
[tex]c=\frac{d + ab}{a}[/tex]
Step-by-step explanation:
Step 1: Write equation
[tex]a(c-b)=d[/tex]
Step 2: Solve for c
Distribute a: [tex]ac-ab=d[/tex]Add ab to both sides: [tex]ac=d + ab[/tex]Divide both sides by a: [tex]c=\frac{d + ab}{a}[/tex]Answer:
c=d+ab/a
Step-by-step explanation:
a( c-b)= d
ac - ab= d
+ab +ab
ac= d-ab
/a /a
c= d+ab/a
Determine if the fractions are Equivalent, 65/4,13/4 Help pls
Answer:
The fractions are not equivalent. If you cross multiply, 65 x 4 = 260 and 13 x 4 = 52. 260 > 52.
Christa has a rectangular rug in her living room that is 6 feet wide and 8 feet long. She decides that the rug is too small for the room, so she orders a new one that covers twice as much area. If the new rug is 1.5 times as wide as the original rug, how long, in feet, is the new rug?
Given:
A rectangular rug in her living room that is 6 feet wide and 8 feet long.
She orders a new one that covers twice as much area.
New rug is 1.5 times as wide as the original rug.
To find:
The length of new rug.
Solution:
We have,
Length of rug = 8 feet
Width of rug = 6 feet
Area of rug is
[tex]Area=length \times width[/tex]
[tex]A_1=8 \times 6[/tex]
[tex]A_1=48\text{ sq. feet}[/tex]
Area of new rug is twice of area of original rug.
[tex]A_2=2\times A_1[/tex]
[tex]A_2=2\times 48[/tex]
[tex]A_2=96\text{ sq. feet}[/tex]
New rug is 1.5 times as wide as the original rug.
Width of new rug = 1.5 × 6 = 9 feet
Let the length of new rug be x feets. So, area of new rug is
[tex]A_2=x\times 9[/tex]
[tex]96=x\times 9[/tex]
Divide both sides by 9.
[tex]\dfrac{96}{9}=x[/tex]
[tex]\dfrac{32}{3}=x[/tex]
[tex]x=\approx 10.67\text{ feet}[/tex]
Therefore, the length of new rug is about 10.67 feet.
There are 72 eight grade students and 84 sixth grade students participating in the Fun Run competition. The students will be put into groups among their own grade and into the largest possible equal groups with no students left over. How many students will be in each group? Group of answer choices
Answer:
12 students
Step-by-step explanation:
Given that:
Eighth grade student = 72
Sixth grade student = 84
To group the students into the largest possible equal group with no student left, obtain the greatest common factor of the number of sixth grade and eighth grade student
Factors of 72:
72 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36
84 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 81
The greatest factor common in both numbers is 12.
9. Subtract: 5 - 3 1/3
A. 1 2/3
B. 2 2/3
C. 3 1/3
D. 2 1/3
Answer:
b is the right answer
Step-by-step explanation:
plz can u follow and make brainliest answer and like and thx to u
Answer:
A. 1 2/3
Step-by-step explanation:
I thought of it backwards and did 1 and 2/3 + 3 and 1/3 = 4 and 3/3
and that turns into 5
Which is the type of energy available in food1? gravitational kinetic
Answer:
chemical energy
Food energy is chemical energy that animals (including humans) obtain from food through the process of cellular respiration (also called eating).
What is the length of one side of the pyramid space?
Answer:
136 units
Step-by-step explanation:
it would be 116 units because you add up 15 plus 17 and get 32 then subtract 90 from 32 and get 58
then multiply 58 by 2 and get 116 units
90 degrees per side of pyramid
3) Find the absolute value /-25/
Answer:
25
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
braniest pls