Each week Josie's mother pays her an allowance to mow and water their front yard. Her mother pays her twice as much to mow the yard as she does to water the yard. She gets a total of $45.00 each week. How much does Josie's mother pay her to mow the front yard? Write an equation and solve the equation.
Answer: $30
Step-by-step explanation:
Let the amount paid to water the yard be represented by x.
Since her mother pays her twice as much to mow the yard as she does to water the yard. Therefore, the amount to mow the yard would be 2x.
Therefore,
2x + x = $45
3x = $45
x = $15
The amount to mow the front yard would be:
= $15 × 2
= $30
Over 5 hours, a bakery uses 45 sticks of butter. How
many sticks of butter will the bakery use in 4 hours?
Solve using unit rates.
Answer:
36 sticks
Step-by-step explanation:
if they use 45 in 5 hours do 45÷5=9
9×4=36
You have $550 in a savings account that earns 3% simple interest each year. How much will be in your account in 10 years? *
Answer:
$150
Step-by-step explanation:
3% of $500 is $15
$15 ×10 is $150
In the diagram below of rectangle RSTU, diagonals RT and SU intersect at 0.
RT = 6x + 4 and 50 = 7% -6, what is the length of US?
U
A) 8
x
B) 2
C) 16
R
D) 32
Answer: 16
Step-by-step explanation:
Pls help me ill mark brainliest and more
Answer: i believe its yes
Step-by-step explanation:
Answer:
B. Yes
Step-by-step explanation:
Write a fraction that is equivalent to 3/4 with a denominator of 20
Answer:
15/20
Step-by-step explanation:
1. Take the denominator of 3/4 and multiply it by 5 because that is what it takes to get 20 from 4.
4 x 5 = 20.
2. Multiply the numerator by 5 as well.
15/20
Answer:
3 / 4 = 15 / 20
Step-by-step explanation:
I think thats right
6x - 5 = 5x + 3
If you get it right you get brainest
Answer:
x = 8
Step-by-step explanation:
6x - 5 = 5x + 3
6x - 5x = 3 + 5 (combining like-terms)
x = 8
Hope this helps!
4х – у = 5
3х + y = 9
find an equation of the line that is perpendicular to the line y=5x+6 and passes through the point (-2,5)
workings pls
Answer:
[tex]5y=-x+23\\[/tex]
Step-by-step explanation:
Since the equation of the line is perpendicular to the line y = 5x +6
we can use the formula:
[tex]m_1m_2=-1\\[/tex]
where m1 is the slope of the line we have and,
m2 is the slope of the line we need
so here m1 is 5 as we compare it with the slope-intercept form our slope is:
[tex]y=5x+6\\y=mx+b[/tex]
our m1 is 5 but we need m2 so plugging in the value we get m2 to be:
[tex]m_1m_2=-1\\5m_2=-1\\m_2=-1/5\\[/tex]
and now we have our m2, now furthermore since the line passes through the point (-2 , 5) it means the point must lie on the line and satisfy it. We can use this point and the slope m2 and find out the equation by the point-slope form equation:
[tex]y-y_1=m(x-x_1)\\y-5=-\frac{1}{5}(x-(-2))\\\\5(y-5)=(-1)(x+2)\\5y-25=-x-2\\5y=-x-2+25\\5y=-x+23\\[/tex]
Which is the constant of proportionality for the relationship shown in the graph?
PLEASE HELPP! Any help will be greatly appreciated
Step-by-step explanation:
The constant of proportionality is y / x = 4 / 2 = 8 / 4 = 2.
Answer:
The constant of proportionality is y / x = 4 / 2 = 8 / 4 = 2.
Step-by-step explanation:
Hope this helped have an amazing day!
Write y2 in isolated
form.
19x2 + 4y2 = 25
Oakridge High School has been experiencing an annual
decline of 2.2% in enrollment since 1994. In 1994, 3000
students were enrolled. Determine the exponential
model that describes the school's enrollment over time.
y = 3000(97.8)^x
y = 3000(102.2)^x
y=3000(1.022)^x
Y= 3000(0.978)^x
Answer:
Option (D) is correct.
Step-by-step explanation:
We know that exponential decline in Math can be termed as a consistent reduction of an amount by percentage over a certain period of time.
It can be expressed using the formula
y = a (1-b)ˣ
here
y represents the final amounta represents the original amountb represents the decay factorx represents the amount that has passedNow, map our problem using the same concept formula
as
3000 students were enrolled, so
a = 3000as High School has been experiencing an annual decline of 2.2% in enrollment, so
b = 2.2%= 0.022so substituting b = 0.022 and a = 3000
y = a (1-b)ˣ
y = 3000 (1 - 0.022)ˣ
as
1 - 0.022 = 0.978so the expression becomes
y = 3000 (0.978)ˣ
Therefore, option (D) is correct.
EASY POINTS FOR Y'ALL
Answer:
A: Yes, because it passes the vertical line test.
Step-by-step explanation:
There are no repeating numbers of x, so therefore, it passes the vertical line test and it is a function.
What is the slope and equation of a horizontal line ?
Answer:
Step-by-step explanation:
The equation of a horizontal line is y = b where b is the y-intercept. Since the slope of a horizontal line is 0, the general formula for the standard form equation, y = mx + b becomes y = 0x +b y = b. Also ,since the line is horizontal, every point on that line has the exact same y value. This y-value is therefore also the y-intercept.
Answer:
Horizontal lines have a slope of 0. Thus, in the slope-intercept equation y = mx + b, m = 0. The equation becomes y = b, where b is the y-coordinate of the y-intercept.
Step-by-step explanation:
Horizontal lines have a slope of 0. Thus, in the slope-intercept equation y = mx + b, m = 0. The equation becomes y = b, where b is the y-coordinate of the y-intercept.
Which equation is equivalent to 9x+4y=16
Answer:
8x time 2x= 16
what is my answer for this question?
1/3 + 1/4
Answer:
7 / 12 is the answer
hope this answer will help you
NEED HELP ASAP!!!!OFFERING BRAINIEST!!!
Answer:
4
Step-by-step explanation:
How do you find the slope of a line in a graph?
Help me please
[tex]slope = \tan(angle \: made \: by \: \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: line \: with \: x \: axis) [/tex]
[tex]or \: [/tex]
[tex] = \frac{y1 - y2}{x1 - x1} [/tex]
Please help me ASAP before report cards thank you
Pic’n’mix sweets cost 56p per quarter. How much would 9 ounces cost? (There are 4 ounces in a quarter.)
Answer:
126p
Step-by-step explanation:
56 divided by 4 = 14p per ounce
14 x 9 = 126p per 9 oz.
Tom is buying topsoil for the flower bed shown below. One bag of topsoil covers 151515 square meters. How many bags of topsoil does Tom need to cover his flower bed?
Answer:
2 bags of topsoil.
Step-by-step explanation:
The attached figure shows a flower bed.
One bag of topsoil covers 15 square meters.
We need to find how many bags of topsoil does Tom need to cover his flower bed.
The area of the flower bed is :
[tex]A=\dfrac{1}{2}\times 12\times 5\\\\=30\ m^2[/tex]
Let he has to cover x bags of topsoil. So,
x = Area of flower bed/Area of 1 bag of top soil
x = 30/15
x = 2
Hence, he will need 2 bags of topsoil to cover his flower bed.
Can somebody plz help answer all the questions correctly thanks a lot !!!
(Only if u done it before)
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DDD
Answer:
7. 250%
8. 400%
9. 667%
10. 769%
11. 263%
12. 125%
13. 137%
14. 526%
Step-by-step explanation:
divide the first number by the second number, then multiply that answer by 100
so kind of like: Number1 ÷ Number2 = x
then you do x × 100
and that's your answer
(all of my answers are rounded to the nearest percent)
Answer:
7) 40 Percent 8) 25 Percent 9) 25 Percent 10) 112 Percent
11) 38 Percent 12) 800 Percent 13) 73 Percent 14) 19 Percent
Step-by-step explanation:
I hope this helps :)
plz help, look in the picture. Then i will add you to brainliest promise
Answer:
I think B or C
Step-by-step explanation:
I think B or C because it is the closest to 52.8.
Hope this helps you.
The answer is B
Because when you round 52.8 you would get 53 but because 53 isnt an option you would do 54 because 54 is closer to 53 than 50. Then you woukd divide because Alexandra is dividng the bags equally into 9 bags.
Answer Choices
A)neither Anne nor Tim
B)both Anne and Ti
C)only Anne
D)only Tim
WILL MAKE THE BRAINLIEST ANSWER IF RIGHT!!
Answer:
c) only Anne
Step-by-step explanation:
I just did the test. Hope this helps! : )
Simplify the following expressions
a. 2/5- 1/6 b. 3/7-7/14 c. 5/8- 2/3
please help with al parts! I will give brainliest to smartest answer!
Answer:
A: 428.75/ 24.5 = $17.50 per sq foot
B: 62.50*24.50 = $1,531.25
C: 428.75 + 1,531.25 + 137.50 = $2,097.50 for the total replacement
Step-by-step explanation:
answer number 10 pls answer number 10 pls answer number 10 pls answer number 10 pls answer number 10 pls answer number 10 pls answer number 10 pls answer number 10 pls answer number 10 pls
Answer:
what's the question that your asking
Given: x + 2 <-5.
Choose the solution set.
OXIXER,<-7)
OXIXERX <-3)
OxIXER X<3)
OXIXER X<7)
Answer:
The solution set is {x : x ∈ R, x < -7} ⇒ A
Step-by-step explanation:
The solution set of the inequality x > a is {x : x ∈ R, x > a}The solution set of the inequality x < a is {x : x ∈ R, x < a}The solution set of the inequality x ≥ a is {x : x ∈ R, x ≥ a}The solution set of the inequality x ≤ a is {x : x ∈ R, x ≤ a}Let us solve the question
∵ x + 2 < -5
→ Subtract 2 from both sides of the inequality
∴ x + 2 - 2 < -5 - 2
∴ x + 0 < -7
∴ x < -7
→ By using the second rule above
∴ The solution set is {x : x ∈ R, x < -7}
In the diagram below, triangle ABC is drawn with altitude BD. If AD = 30 and AC = 36, determine the length of AB rounded to the nearest tenth.
9514 1404 393
Answer:
32.9
Step-by-step explanation:
The ratio of long side to hypotenuse is the same for all of the triangles in the figure.
AD/AB = AB/AC
AB^2 = AD·AC = 30·36
AB = 6√30 ≈ 32.863
To the nearest tenth, AB ≈ 32.9.
A rectanglehas an aeea of 2/3 square yards. If thewidth of the rectangle is1/2 yardwuat isthelegth
Answer:
4/3 yards
Step-by-step explanation:
Given that:
Area of rectangle = 2/3 yd²
Width = 1/2 yards
The length of the rectangle =?
Let length of rectangle = x
Recall :
Area of rectangle = Length * width
2/3 = x * 1/2
2/3 = x/2
Multiply both sides by 2
2/3 * 2 = x/2 * 2
4 /3 = x
Hence, length of the rectangle = 4/3 yards