Answer:
$41.67
Step-by-step explanation:
To save at least $500 in 12 months, Daksha must save an average of at least $500/12 = $41.67 per month.
To find the minimum amount she must save each month, we can assume she saves a constant amount each month, and solve for that amount.
Let x be the amount she saves each month. Then over 12 months, she will have saved 12x dollars. To meet her goal of saving at least $500, we need:
12x ≥ 500
Solving for x, we get:
x ≥ 500/12
x ≥ 41.67
Therefore, Daksha must save at least $41.67 each month to save at least $500 in 12 months.
Write the prime factorization of 1008 and 1323. Then
reduce 1008/1323
Answer:
The prime factorization of 1008 is:
1008 = 2^4 × 3^2 × 7
The prime factorization of 1323 is:
1323 = 3 × 19 × 23
To reduce 1008/1323, we need to simplify the fraction by dividing the numerator and denominator by their greatest common factor (GCF). To find the GCF of 1008 and 1323, we can use their prime factorizations. The only common prime factor they share is 3, so the GCF is 3.
1008/1323 = (3 × 336)/(3 × 441) = 336/441
We can simplify this fraction further by dividing both the numerator and denominator by 7, which is the GCF of 336 and 441.
336/441 = (7 × 48)/(7 × 63) = 48/63
Finally, we can simplify this fraction by dividing both the numerator and denominator by their GCF, which is 3.
48/63 = (3 × 16)/(3 × 21) = 16/21
Therefore, 1008/1323 simplified is 16/21.
Step-by-step explanation:
PLEASE HELP WILL GIVE BRAINLIEST!--
What value of y makes the equation true?
3(2y + 3) = 9y - 15
Answer:
8
Step-by-step explanation:
First, distribute the 3 on the left side of the equation:
6y + 9 = 9y - 15
Next, move the variables to one side of the equation and the constants to the other:
6y - 9y = -15 - 9
Simplifying the left side:
-3y = -24
Finally, solve for y by dividing both sides by -3:
y = 8
Therefore, the value of y that makes the equation true is 8.
In triangle ABC, let the angle bisectors be BY and Cz. Given AB = 8, $AY = 6, and CY = 3, find BZ and BC.
please help soon
Answer:
Step-by-step explanation:
hhl
The length of BC = 4 units and the length of BZ = 2.5 units.
How to solveWe have been handed a triangle ABC for this question.
The angle bisectors BY and CZ have been provided to us.
Moreover, AB = 8, AY = 6, and CY = 3.
We must determine how long BC and BZ are.
The angle bisector theorem is used.
According to the angle bisector theorem we have;
AY/CY = AB/BC,BZ/AZ = BC/ACConsider,
AY/CY = AB/BC
6/3 = 8/BC
BC = 8/2
BC = 4 units
Now,
AC = CY + AY
AC = 3 + 6
AC = 9
and,
AZ = AB - BZ
AZ = 8 - BZ
consider BZ/AZ = BC/AC,
BZ/(8 - BZ) = 4/9
9 BZ = 32 - 4 BZ
(9 + 4)BZ = 32
13 BZ = 32
BZ = 2.5
Therefore, the length of BC = 4 units, and the length of BZ = 2.5 units.
Read more about angle bisector theorems here:
https://brainly.com/question/2478436
#SPJ1
The point (−8, −10) was reflected over an axis to (8, −10). Which axis was it reflected over? Explain.
x-axis, because the x-coordinate is the opposite
x-axis, because the y-coordinate is the opposite
y-axis, because the x-coordinate is the opposite
y-axis, because the y-coordinate is the opposite
Answer:
y-axis, because the x-coordinate is the opposite
The point has been mirrored over the y axis (vertical).
Given that a company lets you download songs for $0.99 each after you pay a $5 fee to be a member, evaluate f(4) for the function of total cost for x songs.
1. 3.96
2. 9.90
3. 21. 96
4. 8.96
Answer: 4
Step-by-step explanation:
A steak costs $4 more than a hamburger, and a hamburger costs $4 more than a grilled cheese sandwich. If six grilled chees sandwiches cost 2x dollars, how much will 4 steaks and 2 hamburgers cost?
(I understood this question but I don't know why I am keep getting the wrong answer lol)
Answer:
6(x/3)+ 40= 2x+ 40.
Step-by-step explanation:
Let "C" be the cost of a grilled cheese sandwich.
"A hamburger costs 4 more than a grilled cheese sandwich" so a hamburger costs C+ 4.
"A steak costs 4 more than a hamburger" so a steak cost (C+ 4)+ 4= C+ 8.
"If 6 grilled cheese sandwiches cost 2x dollars" then 6C= 2x so C= 2x/6= x/3.
"how much will 4 steaks and 2 hamburgers cost?"
One steak cost C+ 8 so 4 steaks cost 4(C+ 8)= 4C+ 32. One hamburger cost C+ 4 so 2 hamburgers cost 2(C+ 4)= 2C+ 8. Together that would be 4C+ 32+ 2C+ 8= 6C+ 40.
Since C= x/3, 4 steaks and 2 hamburgers cost 6(x/3)+ 40= 2x+ 40.
PLEASE TELL ME WHAT"S THE ANSWER AND SHOWM E HOW YOU GOT THE ANSWER
Rewrite as a quotient of two common logarithms. Write your answer in simplest form. [tex]log_ {9} 7=[/tex]
please help math sucks
Answer:C
Step-by-step explanation:
x>6 shows he should walk at least 7 blocks or more.
Answer: sam wallked more than 6 blocks to get to his friends house
Step-by-step explanation:
since the sign is > it means greater than and < means less than so it goes down to the bottom two an the last option says no more than wich is ig another word for less than.
The points (0, 0), (–3, 3), and (0, 6) are three vertices of a square. What are the coordinates of the fourth vertex of the square?
PLEASE ANSWER QUICKLY
Answer:
(3,3)
Step-by-step explanation:
and you basically flip the (-3,3) cordnet
the linear function y = 5x + 6 represents the cost in dollars , "y" , for a person to bowl "x" games at a bowling alley. what is most likely represented at the y-intercept of this function?
A. The y- intercept is the cost of a large drink.
B. The y- intercept is the cost per hour to bow..
C. The y- intercept is the cost of a one time fee for renting bowling shoes.
D. The y- intercept is the number of games bowled.
The surface of the cuboid below is 128cm squared. Find the length x.
Answer:
x = 6 cm
Step-by-step explanation:
The surface area: 128 cm^2
32 + 16x = 128
Note: The surface area of a cuboid consists of 6 faces
16x=96 -> x = 6
Answer:
Step-by-step explanation:
The total surface area = 2(lb+lh+bh)
With given information, 2(4x+4x+4*4) = 128
=> 2(8x+16) = 128
=> 16x + 32 = 128
=> 16x = 96
=> x = 6
Therefore, the length = 6
Please help!!!!! 40 points!
Josiah kept track of how many songs of each genre were played in an hour from his MP3 player. The counts are displayed in the table below. He has a total of 1,500 songs on his player. Josiah predicted the number of rock songs on his MP3 player to be 300 songs. Which statements about his solution are true? Select three choices.
Josiah’s Music
Sample 1
Sample 2
R & B
5
R & B
4
Pop
4
Pop
3
Classical
3
Classical
5
Jazz
2
Jazz
4
Rock
6
Rock
4
Josiah’s work:
StartFraction 10 over 20 EndFraction = StartFraction x over 1,500 EndFraction. StartFraction 10 times 30 over 20 times 30 EndFraction = StartFraction x over 1,500 EndFraction. 300 = x.
He should have found the average of the number of rock songs by averaging 4 and 6 to get 5.
He did not multiply the numerator and denominator by the correct number to equal 1,500.
His answer will be one-half of what he got because he did not divide 10 by 2 when setting up the proportion.
He can only solve the proportion by multiplying the numerator and denominator by a common multiple.
He should have multiplied the numerator and denominator by 75, not 30, because 20 times 75 = 1,500.
Answer:
Step-by-step explanation:d
help I'm not sure what the answer is.
Answer:
I think it's b 433.75
Step-by-step explanation:
I added 18.75 + 15 = 33.75 + 400 = 433.75
A designer creates a drawing of a triangular sign on centimeter grid paper for a new business. The drawing has sides measuring 6 cm, 8 cm, and 10 cm, and angles measuring 37°, 53°, and 90°. To create the actual sign shown, the drawing must be dilated using a scale factor of 50.
Part 1 out of 4
Find the lengths of the sides of the actual sign.
__ cm, ___ cm, ___ cm
If y = 17 inches, z = 24 inches, h = 7 inches, and w = 3 inches, what is the area of the object?
paulo used clay to make the cube shown.he wants to make a larger cube with an edge length that is twice as long.how many ounces of clay does he need to make this larger cube?
Answer:
8 times more clay than the original cube
Step-by-step explanation:
There's no picture here so I'll say it variably. If the original cube has side length [tex]x[/tex], then the amount of clay needed is [tex]x^3[/tex] because the formula for volume of a cube is [tex]v=s^3[/tex]. Similarly, a cube with side lengths twice as long would have a side length of [tex]2x[/tex]. The volume of this new cube would be[tex](2x)^3=8x^3[/tex], 8 times the volume of the original cube.
Simplify the following
5/8 × 6/7
Answer:
15/28
Step-by-step explanation:
5/8 × 6/7
multiply the numerators by numerators and denominators by denominators
5×6= 30
8×7= 56
30/56 simplified to give 15/28
Answer:
15/28
Step-by-step explanation:
5×6 = 30
8×7 = 56
so we have 30/56
which then we simplify by 2
30÷2 = 15 & 56÷2 = 28
= 15/28
what is the surface of this sphere with a radius of 10 mn
Answer: The surface area of a sphere with a radius of 10 in is 400π square inches.
Step-by-step explanation:
i really need help please
Answer: -10, -7, -5, -3, -2.1, -2.01, -2.001.
Step-by-step explanation: The numbers you need to pick, have to be less than -2. -10, -7, -5, -3, -2.1, -2.01, and -2.001, are less than 2. -2, -1.999, -1.99, -1.9, -1, 1, 3, and 6, are all greater than 2, so they won't fit the equation.
how do you find surface area with a detail explanation.
giving briniest.
an iceberg weighs 450000 pound is it loes 0.2 percent of its weight in 1 day whats the enw weight
Answer:
449100
Step-by-step explanation:
450000x0.002=900
450000-900=449100
Answer:
Step-by-step explanation:
Help pls explain due at 7:45
What is the mean of the following set of numbers?
121, 347, 45, 21, 300, 614, 312, 333, 421
A.279.3
B,no mean
C.312
D.251.4
Answer: 279.3
Explanation:
Mean is the sum of all numbers added together, divided by how many numbers are in a sequence.
121+347+45+21+300+614+312+333+421= 2514
2514÷9=279.333..
Rima’s age is 10 years less than twice her father’s age.What is the difference bettwen their ages?
Grade#7
Answer:
x-10
Step-by-step explanation:
let her father be x
then
rima's age is 2x-10
What is the product of 5 1/2 and 3 3/4?
A. 22 3/8
B. 21 1/4
C. 20 5/8
D. 15 3/8
C:
5 1/2 * 3 3/4 = 165/
8
= 20 5/
8
= 20.625
Conversion a mixed number 5 1/
2
to a improper fraction: 5 1/2 = 5 1/
2
= 5 · 2 + 1/
2
= 10 + 1/
2
= 11/
2
To find a new numerator:
a) Multiply the whole number 5 by the denominator 2. Whole number 5 equally 5 * 2/
2
= 10/
2
b) Add the answer from the previous step 10 to the numerator 1. New numerator is 10 + 1 = 11
c) Write a previous answer (new numerator 11) over the denominator 2.
Five and one half is eleven halfs.
Conversion a mixed number 3 3/
4
to a improper fraction: 3 3/4 = 3 3/
4
= 3 · 4 + 3/
4
= 12 + 3/
4
= 15/
4
To find a new numerator:
a) Multiply the whole number 3 by the denominator 4. Whole number 3 equally 3 * 4/
4
= 12/
4
b) Add the answer from the previous step 12 to the numerator 3. New numerator is 12 + 3 = 15
c) Write a previous answer (new numerator 15) over the denominator 4.
Three and three quarters is fifteen quarters.
Multiple: 11/
2
* 15/
4
= 11 · 15/
2 · 4
= 165/
8
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(165, 8) = 1. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - eleven halfs multiplied by fifteen quarters is one hundred sixty-five eighths.
There are x students in Mrs. Sproul's class, 4 fewer than twice as many as are in Mrs. Puccio's class. If there are y students in Mrs. Puccio's class, then what is the value of y in terms of x?
Answer:
y= (X x 2) - 4
Mrs.Puccio class = double of Mrs.Sproul's class - 4 students
1. Last month, Lucy and Britney each read three books. The tables show the number of pages in each book and the time it took Lucy and Britney to read each book. Which of the tables, if any, represent a proportional relationship?
A) Lucy's table represents a proportional relationship.
B) Neither Lucy's nor Britney's tables represent a proportional relationship.
C) Both Lucy's and Britney's tables represent a proportional relationship.
D) Britney's table represents a proportional relationship.
2. Which statement is TRUE?
A) The constant of proportionality for Lucy's table is 26.
B) The constant of proportionality for Britney's table is 26.
C) The constant of proportionality for Lucy's table is 28.
D) The constant of proportionality for Britney's table is 28.
What are the areas of these shapes?
Answer:
The first one is 60. The second is 18
Step-by-step explanation:
In 1803 the United States purchased the Louisiana Territory from France
for $15 million. In 1867 the United States purchased Alaska from Russia
for $7.2 million. The purchase of Alaska occurred how many years after
the purchase of the Louisiana Territory?
Answer: 64 years later
Step-by-step explanation:
67 - 3 = 64
Please assist if you know math. Thank you for your patience.
Answer:
42
Step-by-step explanation:
area of rect. + area of triangle
l x b + 1/2 x b x h
4 x 9 + 1/2 x 3x 6
36 + 6 = 42