Bert’s pizza contains x toppings.
Ernie’s pizza contains 4 times the number of toppings as Bert’s pizza.
The total number of toppings on the two pizzas is 15.
What is x, the number of toppings on Bert’s pizza?
Answer:
x=3
Step-by-step explanation:
x = number of toppings on berts pizza
Berts pizza has 1x toppings
Ernies pizza has 4x toppings
there are 15 toppings on both pizzas
x + 4x = 15 (combine like terms)-> 5x=15 (divide both sides by 5)-> x=3
Line fg goes through the points (4,9) and (1,3) which represents a line that is perpendicullar to fg and passes through the point (2,0)
Answer:c
Step-by-step explanation:
The equation of the perpendicular line is [tex]y = -\frac 12x + 1[/tex]
The points are given as:
[tex]F = (4,9)[/tex]
[tex]G = (1,3)[/tex]
Start by calculating the slope (m) of line FG as follows:
[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]
Substitute values for x's and y's.
So, we have:
[tex]m = \frac{9 -3}{4 - 1}[/tex]
[tex]m = \frac{6}{3}[/tex]
[tex]m =2[/tex]
The equation of the line is said to be perpendicular to line FG.
So, the slope of the line is:
[tex]m_2 = -\frac 1m[/tex]
This is then calculated as:
[tex]m_2 = -\frac 12[/tex]
The line is said to pass through point (2,0).
So, the equation of the line is:
[tex]y = m_2(x - x_1) +y_1[/tex]
This gives
[tex]y = -\frac 12(x - 2) +0[/tex]
Expand
[tex]y = -\frac 12x + 1 +0[/tex]
[tex]y = -\frac 12x + 1[/tex]
Hence, the equation of the line is [tex]y = -\frac 12x + 1[/tex]
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Helppppppppp quickkkkkkk
Answer:
False
Step-by-step explanation:
can i get help plzz .....
Answer:
$0.30
Step-by-step explanation:
If you already spent $5 then you have $6 remaining so you will just divide 6 and 20 and you will get 0.3 so $0.30
What makes -36 in multiplication?
Answer:
Basically the factors of 36 but one number will be negative.
Step-by-step explanation:
negative number x positive number = negative number
-1 x 36 = -36
-2 x 18 = -36
-3 x 12 = -36
-4 x 9 = -36
-6 x 6 = -36
-9 x 4 = -36
-12 x 3 = -36
-18 x 2 = -36
Hope this helps :)
The presence value of a negative sign in the multiplication operation contributes to the final result being -36.
In multiplication, the value -36 can be obtained by multiplying a positive number by a negative number or by multiplying two negative numbers.
For example:
-36 = (-1) × 36
This means that multiplying -1 by 36 gives us -36.
Similarly:
-36 = 6 × (-6)
Here, multiplying 6 by -6 also results in -36.
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Use elimination to determine which ordered pair is the solution to the system of equations below. Use the space below to show all steps (by typing the steps) in order, then choose the correct answer. You can write the solution as an ordered pair or write the letter of the correct answer. All work must support the answer that you choose. -2x - 14 = 10 2x + 2y = 14
Answer:
in the ordered pair; ( x = 27/4 , y = 1/4 )
Step-by-step explanation:
Given that:
The system of the equation shown below is:
-2x - 14y = 10
2x + 2y = 14
We are to use the elimination method to determine the ordered pair.
From the above equation:
-2x - 14y = 10 --- (1)
2x + 2y = 14 --- (2)
Add both equation 1 and 2 together in order to eliminate x, then we can solve for y first.
-2x - 14y = 10
2x + 2y = 14
0 - 16y = -4
- 16 y = - 4
divide both sides by - 16, Then:
-16y /-16 = -4/-16
y = 1/4
Since y = 1/4, Then from equation (2), x will be :
2x + 2y = 14
2x + 2(1/4) = 14
2x + 1/2 = 14
2x = 14 - 1/2
2x = 13.5
x = 13.5/2
x = 27/4
Thus, in the ordered pair; ( x = 27/4 , y = 1/4 )
Solve for x
0.5x + 78.2 = 287
Answer:
x = 417.6
287 = 78.2 + .5x
208.8 = .5x
x = 417.6
Hope this helps
Answer:
0.5x + 78.2 = 287
0.5x = 287 - 78.2
0.5x = 208.8
0.5x ÷ 0.5 = 208.8 ÷ 0.5
x = 417.6
Avery is tracking the height of a plant that grows at a constant rate. After the third week, the plant is 8.5 centimeters high. After the seventh week, the plant is 18.5 centimeters high. What was the original height, in centimeters, of the plant and how many centimeters did it grow per week?
Answer:
Original Plant was 1cm and it grew 2.5 cm per week.
Step-by-step explanation:
Using the Slope Formula (y2-y1/x2-x1)we can get how many centimeters it will grow in a week.
18.5cm-8.5cm/7-3
10cm/4
2.5 cm per week.
The original height of the plant were 1 cm and raised at rate of 2.5 cm per week.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
In 3rd week, plant height = 8.5 cm
In seventh week= 18.5 cm
So, the height in-between 4 weeks = 18.5 - 8.5 = 10
then, the height raised in one week = 10/4 = 2.25 cm
Thus, the original height of the plant were 1 cm and raised at rate of 2.5 cm per week.
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Please include work!
Answer:
x = ± 4
y = - 2
Step-by-step explanation:
y = 0.5x² - 10 ------------------------(I)
y = -x² + 14 ------------------------(II)
Substitute the y value in equation (II)
0.5x² - 10 = -x² + 14 {Add x² to both sides}
0.5x² + x² -10 = 14 {combine like terms}
1.5x² - 10 = 14 {Add 10 to both sides}
1.5x² = 14 + 10
1.5x² = 24 {Divide both sides by 1.5}
1.5x²/1.5 = 24/1.5
x² = 16
x = ±4
Substitute x = 4 in (I)
y = 0.5 * 4² - 10
= 0.5*16 - 10
= 8- 10
y = -2
Substitute x = -4 in (I)
y = 0.5 * (-4)² - 10
= 0.5*16 - 10
= 8- 10
y = -2
What is an equation of the line that passes through the points (-6,3) and
(-6, -3)?
Answer: The equation: x=-6
Step-by-step explanation: Use desmos for graphing equations
Which of the following is not protected by the FDIC?
a.
Safety deposit boxes
b.
Savings accounts
c.
Checking accounts
d.
Certificates of Deposit (“CDs”)
The account which is not protected by the FDIC is Checking Account. Thus option 3rd is correct.
What are the 3 types of savings?The three kinds of saving accounts are regular deposits, money markets, and Certificates of Deposits. There is a difference in all three types in terms of accessibility and amount of interest.
The Checking account is defined as the account which carries the day-to-day transactions of money. Which ensures easy access to money.
Most people generally use a debit card or checks to make purchases. Thus option 3rd is correct.
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Answer:
A. Safety deposit boxes
Step-by-step explanation:
I did it right
9. What is the value of x in the
figure shown?
104°
38°
Answer:
x = 66
Step-by-step explanation:
So the angle with 104 that's the outside measure of the angle but we need to find the inside measure so first.
180 -104= 76 (so 76 is the measure to the inside angle)
Now
76 + 38 + x = 180 (collect like terms)
114 + x = 180 (minus 114 on both sides)
x = 66
What is the slope of the line that passes through the points (8, 4) and (20, -4) ?
Answer:
m = -2/3
Step-by-step explanation:
m = (y2-y1)/(x2-x1)
m = (-4-4)/(20-8)
m = -8/12
m = -2/3
Amanda’s hair grew 3/4 in. in 1 1/2 months? How long did her hair grow in one month?
Answer:
1/2 a inch was this helpful
rewrite the equation in vertex form
f(x)= (3x-9)(x+1)
Answer:
Step-by-step explanation:
Y=3(x-1)^2 -12
HURRY PLEASE!! I’ll mark you as brainliest
Evan has agreed to mow his neighbor's lawn each week. His neighbor will pay him $15 each week. Evan will also babysit some hours each week for $10 per hour. Evan needs to make at least $100 per week to save for his own car, but if he makes $200 or more each week his parents will charge him rent. How many hours h should Evan agree to baby-sit each week to avoid paying rent but still be able to save for his car?
Answer:
Evan should agree to babysit for less than 18.5 hours (possible answer is 18 hours)
Step-by-step explanation:
let x = amount of hours evan should agree to babysit
10x + 15 < 200
10x < 185
x <18.5
Which represents the height of the prism?
Answer:
[tex]64 {a}^{3} {b}^{6} = 16a {b}^{3} \times h[/tex]
[tex] \frac{64 {a}^{3} {b}^{6} }{16a {b}^{3} } = h[/tex]
[tex]4 {a}^{2} {b}^{3} = h[/tex]
Christina took a total of 10 quizzes over the course of 5 weeks. How many weeks of school
will Christina have to attend this quarter before she will have taken a total of 18 quizzes?
Assume the relationship is directly proportional.
weeks
Submit
Work it out
Answer:
9 weeks
Step-by-step explanation:
If she took 10 quizzes over the span of 5 weeks, then she took 2 quizzes per week.
This is because:
10 quizzes ÷ 5 weeks = 2 quizzes
We can use this information to solve for 18 quizzes by setting up the equation the same way
If she takes 2 quizzes every week, and ends with 18 finished quizzes, how many total weeks did it take her ?
Variable x = total weeks
18 quizzes ÷ x weeks = 2 quizzes
With division, we can switch x weeks and 2 quizzes
18 quizzes ÷ 2 quizzes = x weeks
18 ÷ 2 = 9
9 weeks
Which model represents the equation below? Negative 4 x + (negative 2) = 3 x + (negative 5) 3 x tiles, 1 negative x tile, and 2 negative 1 tiles = 3 x tiles, 3 positive 1 tiles, and 2 negative 1 tiles 4 x tiles and 2 negative 1 tiles = 3 x tiles and 5 negative 1 tiles 4 negative x tiles and 2 negative 1 tiles = 3 x tiles and 5 negative 1 tiles 4 negative x tiles and 2 negative 1 tiles = 3 x tiles and 5 positive 1 tiles Mark this and return
Answer:
-4 x + (-2) = 3 x + (-5) 3 x tiles
Hope this Helps!
Answer:
b
Step-by-step explanation:
Took test and ijm smartish lol edge
Solve 22 + 2x + 7 = 0 ( using the Quadratic Formula. Select all that
apply.
O x=-1+iv
Ox=-1-16
O x=-1+6
O x=-1-16
Answer:
x = -29/2
Step-by-step explanation:
Mike runs cross country. He runs 7 miles in 56
minutes. He runs 20 miles in 160 minutes. If
he keeps the same pace, how long will it
take him to run 15 miles? Fill in the table with
the missing time for the 15-mile run, and
then graph the data.
Jenna feeds her cat twice a day. She gives her cat 3/4 can of cat food each time. Jenna is having a friend take care of her cat for 5 days. To prepare, she bought 8 cans of cat food. Did Jenna buy enough cat food? If so, how much? If not, how much did she have?
Given:
Number of times Jenna feeds her cat = 2
Cat food each time [tex]=\dfrac{3}{4}\text{ can}[/tex]
Number of days = 5
Number of cans she bought = 8
To find:
Did Jenna buy enough cat food.
Solution:
Required food for each time [tex]=\dfrac{3}{4}\text{ can}[/tex]
Jenna feeds her cat twice a day.
Required food for a day [tex]=2\times \dfrac{3}{4}\text{ can}[/tex]
[tex]=\dfrac{3}{2}\text{ can}[/tex]
Required food for 5 days [tex]=5\times \dfrac{3}{2}\text{ can}[/tex]
[tex]=\dfrac{15}{2}\text{ can}[/tex]
[tex]=7.5\text{ can}[/tex]
Since, 7.5 cans < 8 cans, therefore, Jenna buy enough cat food for her cat.
Solve for x round your answer to the nearest 10th
Answer:
x = 13 / sin(55)
Step-by-step explanation:
sin(x)= opposite / hypotenuse
sin(55) = 13 / x
rearrange equation for x and solve
Caitlyn has $100 in her savings account. Her parents asked her to start paying for her Disney+ subscription next month, which costs around $8.00 each month. She currently has no job, no income, and no allowance to be able to add to her account.
1. Write an equation that shows how much money she has left in the account (y) after x months have passed.
2. How much money will be left in the account after 2 months?
3. Will her savings ever run out? Explain.
5 2/3 divided by 3/10
please answer as a whole number or fraction
Answer:
18 8/9
Step-by-step explanation:
make 5 2/3 an improper fraction. Then multiply it by the inverse of the next number. 17/3 x 10/3 = 170/9 or 18 8/9
[tex] = 5 \frac{2}{3} \div \frac{3}{10} [/tex]
[tex] = \frac{(3 \times 5 + 2)}{3} \div \frac{3}{10} [/tex]
[tex] = \frac{17}{3} \div \frac{3}{10} [/tex]
[tex] = \frac{17}{3} \times \frac{10}{3} [/tex]
[tex] = \frac{170}{9} [/tex]
[tex] = 18 \frac{8}{9} [/tex]
[tex]therefore \: , 5\frac{2}{3} \div \frac{3}{10} = 18 \frac{8}{9} [/tex]
The ratio of Eric's red shoes to blue shoes is 3:4. If Eric has 12 red shoes, how many blue shoes does he have?
Answer:
16
Step-by-step explanation:
red: blue
3 4
There are 12 red shoes
12/3 = 4
Multiply each side by 4
red: blue
3*4 4*4
12 16
There are 16 blue shoes
Evaluate the limit, if it exists. Show work.
lim→5 2−3−10 / 2−10
Answer:
Convert the mixed numbers to improper fractions, then find the LCD and combine.
Exact Form: 13/3
Decimal Form: 4.3
Mixed Number Form:4 1/3
Step-by-step explanation:
Hope this helps ;)
i need help with 8th grade math problems
Answer:
ill help you what is it
Step-by-step explanation:
Write a recursive formula for the sequence below. Use the variable "n" for your formula in your answer.
{2, -8, 32, -128, 512, ... }
Answer:
[tex]\begin{cases}a_1 = 2\\\\a_{n} = -4*a_{n-1}\end{cases}[/tex]
============================================
Explanation:
The first line of the answer says "the first term is 2".
The second line says "take any term and multiply by -4 to get the next term".
The [tex]a_n[/tex] represents the nth term while [tex]a_{n-1}[/tex] is the term just before it.
The second line shown above is the same as writing [tex]a_{n+1} = -4*a_n[/tex]
---------------
The -4 is found by dividing any term over its previous one
-8/2 = -4
32/(-8) = -4
-128/32 = -4
512/(-128) = -4
This shows the common ratio is -4 and this sequence is geometric.
gretchen made a paper cone to hold a gift for his friend . the paper cone was 11 inches high and had a radius of 3 inches. find the volume of the cone to the nearest tenth,use 3.14
Answer:
49.5
Step-by-step explanation:
11 times 3 is 33 so if you take 33 times 1.5 it is 49.5