Answer:
b
Step-by-step explanation:
Wyatt and his little sister are saving up money to buy a joint birthday present for their mother. Wyatt already has $20 saved and plans to save $7 per week from his allowance. His sister has $14 saved so far and will save $9 per week from hers. The two siblings will soon have saved the same amount towards their mother's gift. How much will each one have saved? How long will that take?
Answer:
The two siblings will have saved the same amount towards their mother's gift after 3 weeks.
Amount saved by Wyatt = [tex]\$41[/tex]
Amount saved by Wyatt's sister = [tex]\$41[/tex]
Step-by-step explanation:
Let [tex]t[/tex] (in weeks) denotes the time period by which the two siblings will have saved the same amount towards their mother's gift.
Wyatt already has $20 saved and plans to save $7 per week from his allowance.
Amount saved by Wyatt = [tex]20+7t[/tex]
Wyatt's sister has $14 saved so far and will save $9 per week from hers.
Amount saved by Wyatt's sister = [tex]14+9t[/tex]
To find the time period by which the two siblings will have saved the same amount towards their mother's gift,
solve the following equation.
[tex]20+7t=14+9t\\20-14=9t-7t\\6=2t\\3=t[/tex]
So, the two siblings will have saved the same amount towards their mother's gift after 3 weeks.
Amount saved by Wyatt = [tex]20+7(3)=20+21=\$41[/tex]
Amount saved by Wyatt's sister = [tex]14+9(3)=14+27=\$41[/tex]
The staircase has three identical parallelogram-shaped panels. The horizontal distance between each panel is 4.25 inches. The area of each panel is 287 square inches. What is the value of x ?
*see attachment for diagram
Answer:
x = 20.5 in.
Step-by-step explanation:
What we are requested to find is the height of the panel/parallelogram = x
Area of each panel = base × height = 287 in.²
Given that the total length of the 3 panels which includes the length of the 2 gaps within them = 50.5 in., first, let's find the base length of each panel.
Base length of each panel = (total length - length of the 2 gaps in between the 3 panels) ÷ 3
= (50.5 - 2*4.25) ÷ 3
= 42 ÷ 3
Base length of each panel = 14 in.
✔️Next is to find the height of the panel, x.
area of parallelogram = base × height
Base = 14 in.
height = x
Area = 287 in.²
Plug in the values
287 = 14 × x
287 = 14x
Divide both sides by 14
287/14 = x
20.5 = x
x = 20.5 in.
Solve for the variable in 6/18 = x/36
Answer:
x=28.67
Step-by-step explanation:
6 x
18 36
18x 516
18 18
x=28.67
Which exponential function matches the table?
Answer:
B: f(x) = 27[tex](\frac{1}{3})^{x}[/tex]
Step-by-step explanation:
If you substitute 0 and 1 into each given exponential function. The first, second and fourth value with 0 substituted will give 27 as such, so we can eliminate the third exponential function. But, if you substitute 1 into all of the remaining possible exponential functions, the only function that will give you 9, when x = 1 is substituted, is B: f(x) = 27[tex](\frac{1}{3})^{x}[/tex].
I hope this helps you!! ^-^
Write a porportion to find how many points a student needs to score on the test to get the given score
4) test worth 50 points; test score of 40%
6) test worth 80 points; test score of 80%
State the common factor of the terms in the polynomial 5x^2 + 30x^2 - 10x. Then factor the polynomialstate the common factor of the terms in the polynomial 5x^2 + 30x^2 - 10x. Then factor the polynomial
Answer:
common factor: 5x
5x (7x - 2)
Step-by-step explanation:
first, simplify the polynomial:
5x² + 30x² - 10x = 35x² - 10x
common factor: 5x
5x (7x - 2)
What is the experimental probability of rolling a 1
Answer:
1/6
Step-by-step explanation:
The ordered pairs for two points are listed in the table. What is the equation, in slope-intercept form, of the line that contains these points?
A. y = 2x + 4
B. y = -4x - 2
C. y = -4x + 2
D. y = 2x - 4
Your answer would be D
A dolphin jumps from the water at initial velocity of 16 feet per second. The equation h= -16t^2+80t models the dolphin's height at any given time, t. what is the maximum height the dolphin jumps?
a) 1 foot
b) 5 feet
c) 96 feet
d) 100 feet
Answer:
d) 100 feet
Step-by-step explanation:
The x value of the vertex (highest point in this case) is found via -b/2a:
-80/-32 = 2.5
Plug 2.5 into the function:
h(2.5) = -16(2.5)² + 80(2.5)
= - 100 + 200 = 100
a pair of shoes costs $45 at joe's Emporium, and the same pair costs $56 at Fran's Shoes. what is the difference in price between Joe's Emporium and Fran's Shoes?
Answer:
$11
Step-by-step explanation:
to find the difference you subtract
56 - 45 = 11
f (x) =x2 + 10x + 24.
Answer:
(-5,-1)
explanation
A deck of 52 cards is spread out face down on a table. You randomly choose one card. What is the
likelihood you will choose the three of hearts?
Answer:
1/52 OR 0.01923076923 (unusual)
Step-by-step explanation:
So, since it is only asking for 1 card and there is 52 cards in a deck, you have a in 52 chance to pick that card.
Hope that helps!
Devonte opens a savings account by making a deposit of $249.45. Every week, he deposits another $31.75 in the account. Which expression shows the amount of money that will be in the account w weeks after the account is opened? 249.45 w + 31.75 249.45 w minus 31.75 249.45 + 31.75 w 249.45 minus 31.75 w
Answer:
249.45 + 31.75w
Step-by-step explanation:
Opening deposit = $249.45
Weekly deposit made into account = $31. 75
Amount of money which will be in account w weeks after opening :
Opening deposit + (weekly deposit * number of weeks)
Amount after w weeks :
$249.45 + (31.75 * w)
$249.45 + 31.75w
Answer:
C
Step-by-step explanation:
I need help finding the slope
y2- y1 / x2 - x1
3 - -2 / 1 - -3
5/4
So, 5/4 or 1.25.
find the value of given expression
[tex]x = 4 \times 2[/tex]
Answer:
8
Step-by-step explanation:
[tex]x = 4 \times 2 \\ x = 8[/tex]
Answer:
X=4x 2
x=8
I hope this help you
Factory the expression 9X +27 using the GCF
Answer:
9(x + 3).
Step-by-step explanation:
The GCF is 9 so we divide the 2 terms by 9 to get the other factor.
9x + 27
= 9(x + 3).
The Vikings basketball team scored the points shown below in their last 7 games.
80, 89, 89, 92, 104, 104, 107
Which box plot best represents the Vikings’ basketball scores?
If its a diagram pick the answer C
Answer:
C
Step-by-step explanation:
I got it right.
7 less than twice a number is greater than 19
Answer:
Step-by-step explanation:
if the number is x
2x - 7 greater than 19
= 2x greater than 26
The price of gold is proportional to its
weight. 100 grams of gold costs £2315. Find
the cost of 250 grams of gold.
Answer:
£5787.50
Step-by-step explanation:
mark brainliest
PLEASE HELP DUE SOON!! WILL MARK BRAINLIEST TO FIRST CORRECT ANSWER!
Rewrite without absolute value:
y=|x-3|+|x+2|-|x-5|, if -2
Answer:
y=2, y=12
Step-by-step explanation:
y = |-2-3|+|-2+2|-|-2+5|
y = 5+0-3
y=2
or you can try
y=12
converting measures 48ft= yd
Answer:
48 Feet (ft) 16.000 Yards (yd)
1 ft = 0.333333 yd 1 yd = 3.000000 ft
Step-by-step explanation:
300 students attend ridewood junior high school 5% of students bring their lunch to school everyday how many students bring their lunch on Thursday ?
Answer:
300 x .05= 15
..............
Find the value of x.
Answer:
x= 37.5°
Step-by-step explanation:
∠CBD
= 180° -75° (adj. ∠s on a str. line)
= 105°
∠BCD= ∠BDC (base ∠s of isos. △BCD)
∠BCD= x
∠BCD +∠BDC +∠CBD= 180° (∠ sum of △BCD)
x +x +105°= 180°
2x= 180° -105°
2x= 75°
x= 37.5°
Alternative working:
∠BDA= (180° -75°) ÷2 (base ∠s of isos. △ABD)
∠BDA= 52.5°
∠BDA +∠BDC= 90°
52.5° +x= 90°
x= 90° -52.5°
x= 37.5°
Carlos landlord added a markup of 6.5% to their October rent . Carlos rent would have been 750 what is the cost of his rent after the markup
Answer:
c
Step-by-step explanation:
dont know if i am right
solve 4(3r + 4) - 6(r + 1) =22
Answer:
r = 2
Step-by-step explanation:
4(3r + 4) - 6(r + 1) =22
12r + 16 - 6r - 6 = 22
6r = 12
r = 2
I need help please, I will give brainliest to the first 2 people
Answer:
B
Step-by-step explanation:
they are parallel so it means none
Solve the following algebraic expressions
1) n(n-4) -n(5-n)
2)
Answer:
[tex]n {}^{2} - 4n - 5n + n { }^{2} \\ = 2n {}^{2} - 9 [/tex]
Hope it helps
Answer:
[tex]\huge\boxed{1) 2n^2-9n}[/tex]
[tex]\huge\boxed{2) 6c\³ + 4c\²}[/tex]
Step-by-step explanation:
Part 1:
= n(n-4)-n(5-n)
By distributive property
= n² - 4n - 5n + n²
= 2n² - 4n - 5n
= 2n² - 9n
Part 2:
= 4c(3c-c²)-2c²(4-5c)
Distributing brackets
= 12c² - 4c³ - 8c² + 10c³
Combining like terms
= 12c² - 8c² - 4c³ + 10c³
= 4c² + 6c³
= 6c³ + 4c²
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Add (8x - 7) + (6x + 8). simplify your answer.
Answer:
14x+1
Step-by-step explanation:
you combined like terms
8x and 6x are like terms so 8x+6x=14x
8 and (-7) are like terms so 8+(-7)=1
Answer: 14x+1
Step-by-step explanation:
For what range of checks were checking account a long's bank generate more earnings income then one at fellows bank
Answer:
Step-by-step explanation:
OS HELP math math Algebra
Answer:
P=1590
Step-by-step explanation: