Answer:
Number of books with Mrs. Hall = 32
Step-by-step explanation:
Suppose that Mrs. Hill has [tex]x[/tex] books.
Also, Mr. Lopez has 24 more books than Mrs. Hill.
So,
Number of books with Mr. Lopez = [tex]x+24[/tex]
Ratio of their books = [tex]7:4[/tex]
Therefore,
[tex]\frac{x+24}{x}=\frac{7}{4}\\\\4(x+24)=7x\\\\4x+96=7x\\\\96=3x\\x=\frac{96}{3}\\\\x=32[/tex]
Number of books with Mrs. Hall = 32
Evaluate:
f(x) = 3x – 4, when x=-2
O f(-2) = 2
O f(-2) = -10
O f(-2) = -2
o f(-2) = 1
Find the equation of a line that passes through (2,-3), and that is parallel to 5x + y = -2.
O y=-5x + 7
O y = 5x - 13
O y = 5x - 3
O y = -5x - 3
Answer:
O y = -5x + 7
Step-by-step explanation:
[tex]5x + y = -2 \\y = -5x - 2[/tex]
the slope of this line is -5 so the slope of a parallel line will also have to be -5
put it in point slope form:
y - - 3 = -5(x - 2)
y + 3 = -5x + 10
y = -5x + 7
If 1=3
2=3
3=5
4=4
5=4
Then, 6=?
Marie can make 1/3 quart of orange juice in 1/5 of a minute by squeezing oranges. At this rate, how much juice can she make in 1 minute?
I need help please help me!!!!
Two straight lines are shown.
Answer:
(3,20)
Step-by-step explanation:
so O must be 0,0 and A is a midpoint of OB
This means B must be (14,12)
B is the midpoint of TS.
This means that the distance of SB is equal to the distance of BT.
This must mean that the coordinate of T must be (3,20)
O: (0,0) x coordinate increases by 7. y coordinate increases by 6.
A: (7,6)
B: (14,12)
S: (25,4) x coordinate decrease by 11. y coordinate increases by 8.
B: (14,12)
T: (3,20)
The coordinates of T are (3, 20).
What is Straight Line?A straight line is an endless one-dimensional figure that has no width.
From the figure, A is the midpoint of OB and B is the midpoint of TS
The coordinates of O are (0, 0) and Coordinates of A are (7,6)
We can find coordinate of B.
(7, 6)=(0+x/2, 0+y/2)
(7,6)=(x/2, y/2)
x/2=7 and y/2=6
x=14 y=12
So the coordinates of B are (14, 12)
Now we can find the coordinates of T.
(14, 12)=(X+25/2, Y+4/2)
X+25=28
x=3
Y+4=24
Y=20
So the coordinates of T are (3, 20)
Hence, the coordinates of T are (3, 20).
To learn more on Straight lines click:
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Please help me with this homework
Sorry again I need help
Answer:
I think it's option 4
Step-by-step explanation:
I hope my answer is true
Answer:
2
Step-by-step explanation:
or 4 but I'm pretty sure it's that cause it hits the y and x
Bella has $540 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
She buys a new bicycle for $353.59.
She buys 3 bicycle reflectors for $4.98 each and a pair of bike gloves for $38.63.
She plans to spend some or all of the money she has left to buy new biking outfits for $49.20 each.
Write and solve an inequality which can be used to determine xx, the number of outfits Bella can purchase while staying within her budget.
Answer:
Bella spent 407.16 and has 132.84 left. she could buy like 2 outfits
Step-by-step explanation:
Which equation represents a nonproportional relationship? Which equation represents a nonproportional relationship? A y = 5x B y = 5x + 3 C y = −5x D y = − 1 5 x
Answer:
y = 5x + 3 is a nonproportional relationship.
Step-by-step explanation:
We need to find the equation that represents a nonproportional relationship.
If y is directly proportional to x, it would mean that,
y ∝ x
y = kx
Option (b) shows the equation of a line i.e. y=mx+x, where m is slope and x is y-intercept.
Hence, we can say that option (b) represents a nonproportional relationship.
Select all the equations that have a solution of -4:
A. 10 + x = 6
B. 10 - x = 6
C.-3x = -12
D. -3x = 12
E. 8 = x^2
F. x^2 = 16
Answer:
a, d, f ( 4,-4)
Step-by-step explanation:
2(x+3)=5x-6-3x true or false
Answer:
False
Step-by-step explanation:
LHS = 2x + 6
RHS = 2x - 6
LHS is not equal to RHS
I NEED HELP Tiffon makes a 35% commission on the websites that he sells to businesses. If he sells $3,500 worth of websites, what is his commission?
Help please!
find the area of the shaded region. round to the nearest hundredths if necessary.
You can answer just 1 of them and thats fine but id really appreciate if all could get answered!
Answer:
b. 84.612cm
c. 314.15cm
d. 5cm
Step-by-step explanation:
b. solve for both triangles and height of rectangle using Sin
c. pi(r)h 3.1415(10)(10)
d. 3*3-2*2=5
Given the equation of a line y = 5x -16, what is the slope of a line PERPENDICULAR to this line?
Answer:
[tex]-\frac{1}{5}[/tex]
Step-by-step explanation:
Notice that the equation y = 5x - 16 is in slope-intercept form, or [tex]y = mx + b[/tex] format. Whenever an equation is in slope-intercept form, the number in place of the [tex]m[/tex], or the coefficient of the x-term, represents the slope of that line. So, the slope of the given line is 5.
Slopes that are perpendicular to each other are opposite reciprocals. So, we need to find the opposite reciprocal of 5. To do that, write it as a fraction, making it [tex]\frac{5}{1}[/tex]. Then, switch the sign and flip the numerator and denominator. This means that the opposite reciprocal of 5 is [tex]-\frac{1}{5}[/tex], so [tex]-\frac{1}{5}[/tex] is the perpendicular slope.
Solve for x to the nearest tenth.
x=11.18 is your answer look it once
what's
[tex] \sqrt{212 + 13} [/tex]
Answer:
Answer is 15 I hope this help
Find the value of the expression:
A + B - 3
For a =10 and b = 7
Answer:
14
Step-by-step explanation:
10+7 = 17 - 3 = 14
Solve algebraically the simultaneous equations
x^2– y^2 = 24
x= 3 + 2y
Write your two pairs of answers in this form:
when x =... y =...
When x=... y=...
Answer:
(5, 1) and (-5, -7)
Step-by-step explanation:
Given the simultaneous equations
x^2– y^2 = 24 .... 1
x= 3 + 2y .... 2
Substitute 2 into 1
(3-2y)^2-y^2 = 24
Expand
9 - 12y + 4y^2 - y^2 = 24
9 - 12y + 3y^2 = 24
3y^2 - 12y + 9-24 = 0
3y^2 -12y -15 = 0
y^2-4y-5 = 0
y^2+5y - y - 5 = 0
y(y+5) - 1 (y+5) = 0
y-1 = 0 and y+5 = 0
y = 1 and -5
Substitute the values of y into 2
Recall that x = 3+3y
when y = 1
x = 3 + 2(1)
x = 5
when x = -5
x = 3 + 2(-5)
x = 3 - 10
x = -7
Hence the solutions are (5, 1) and (-5, -7)
Five times a number is 28 greater than the product of the number and -2. Find the number
Answer:
4
Step-by-step explanation:
Let the unknown number be x
Five times the number is expressed as 5x
28 greater than the product of the number and -2 is expressed as;
28 + (-2x)
Equating both expressions
5x = 28 + (-2x)
5x = 28 - 2x
5x+2x = 28
7x = 28
x = 28/7
x = 4
Hence the number is 4
find the missing number that will make the statement true
PLs help i really need it will give brainliest and thanks and 5 stars
Answer:
(5-2t)<-4
Step-by-step explanation:
The midnight temprature is 5 °C and the temprature is decreasing at the rate of 2°C per hour . If T is the hours past midnight then after t hours the temprature will be ( 5t-2t) . If the temprature is colder than -4°C right now , then your inequality can be written like 5t-2t<-4
The Hot Dog Eating Contest
10 people entered the hot dog eating contest to see who could eat the most hot dogs in 15 minutes.
Each person was given a number and 10 bags of cooked hot dogs that contained 10 hot dogs per bag.
Person #1 ate 20 hot dogs
Person #2 ate 10 hot dogs
Person #3 ate 35 hot dogs
Person #4 ate 15 hot dogs
Person #5 ate 50 hot dogs
Person #6 ate 25 hot dogs
Person #7 ate 70 hot dogs
Person #8 ate 40 hot dogs
Person #9 ate 15 hot dogs
Person #10 ate 45 hot dogs
Altogether, how many bags of hot dogs were eaten during the contest?
Answer:
325 hot dogs were eaten during the contest.
Step-by-step explanation:
Just add all the hot dogs together. Wow, it's a lot though. :)
I need help!!!!!!!!!!!!!!!!
Step-by-step explanation:
1.2(3cm)×2(6cm)
6cm × 12cm
=72cm²
2. 2(5cm)×2(3cm)
10cm×6cm
60cm²
3.2(6cm)×2(3cm)
12cm × 6cm
72cm²
72cm²+60cm²+72cm²
=204cm²
Help
I neeed to get this question right
Answer:
6/10 is greater than 6/100
Step-by-step explanation:
6/10 = 3/5
6/100 = 3/50
3 fifties is lot more than 3 with 5 parts
hope it makes sense
Need Help ASAP! Use pie as 3.14.Please solve thoroughly please and thank you!
No need to use pi for this problem! So we're finding the area of a trapezoid. It's made up of: a square with length and width 2, and two triangles with a base 2 and height 2.
Area of a triangle formula is [tex]A = \frac{1}{2} B\cdot h[/tex]
[tex]A = \frac{1}{2}\cdot2\cdot 2[/tex]
[tex]A = \frac{1}{2}\cdot 4[/tex]
[tex]A = 2[/tex] units^2
And since the two triangles are the same, the other triangle has the same area: 2 units^2
For the square we can use [tex]A = l\cdot w[/tex]
[tex]A = 2 \cdot 2[/tex]
[tex]A = 4[/tex]
Combine the areas: the total area is 2 + 2 + 4 , = 8 units^2
Answer:
8 units²
Step-by-step explanation:
In order to find the area of this trapezoid, you can apply the formula for the area of a trapezoid: ([tex]b_{1}[/tex] + [tex]b_{2}[/tex]) × h/2
In the equation, you already know base one (2) and the height (2), but base two isn't given. To find the length of the whole base, you need the length of the other side of the square: You can tell that it is two because the two given sides of the square are 2.
Since you now know that the length of the missing side of the base is 2, you can add the three values given to get the base length:
2 + 2 + 2 = 6
Now, you have all the information needed to find the area of the trapezoid. Input them all into the equation:
([tex]b_{1}[/tex] + [tex]b_{2}[/tex])*h/2 where [tex]b_{1}[/tex] is 2, [tex]b_{2}[/tex] is 6, and h is 2,
(2 + 6) × 2/2
= 8 × 1
= 8 units²
What is the equation of a line with a slope of 2 and a y intercept of -5?
Answer:
y=2x-5
Step-by-step explanation:
The slope is how you move so you could also call it m
The y intercept is where you begin so you could call it b
So every time you need to find the equation or which one is like the slope just remember m=move b= begin
y=mx+b
License plates in the tiny country of Venn follow a unique pattern. The first character is one of 41 Egyptian hieroglyphs, the second is one of 39 emojis, and the third character is one of 10 polygons. How many 3 character license plates are available to the people of Venn?
Answer:
12710 license plates
Step-by-step explanation:
Given that :
First character = one of 41 different hieroglyphs
Second character = one of 31 emojis
Third character = one of 10 polygons
A license plate consists of 3 characters
Number of 3-character license plates available :
Number of hieroglyphs * Number of emojis * number of polygons
41 * 31 * 10 = 12710 license plates.
2 If a transformation is applied to a figure and a new figure is created, which
transformation would NOT preserve congruence? (8.108, SS, RC3)
F. (x, y) + (x + 5, y - 4)
G (x,y) → (-y, x)
H (x,y) → (3x, 3y)
J (x,y) → (x, -y)
A. F
B. G
C. H
D. j
7y - 2 3/4 = 1/2 solve these equation
Answer:
y = [tex]\frac{13}{28}[/tex]
Step-by-step explanation:
Given
7y - 2 [tex]\frac{3}{4}[/tex] = [tex]\frac{1}{2}[/tex] ( change the mixed number to an improper fraction )
7y - [tex]\frac{11}{4}[/tex] = [tex]\frac{1}{2}[/tex] ( multiply through by 4 to clear the fractions )
28y - 11 = 2 ( add 11 to both sides )
28y = 13 ( divide both sides by 28 )
y = [tex]\frac{13}{28}[/tex]