Answer: 10 + 5.5t
Step-by-step explanation:
Amount charged for transport = $10
Amount charged pee hour of babysitting = $5.50
Number of hours to babysit = t
The algebraic expression to define the amount of money you will make for t hours of work will be:
= $10 + $5.50t
= 10 + 5.5t
The price of an item has risen to 297 today. Yesterday it was 110 . Find the percentage increase.
Answer:
170
Step-by-step explanation:
original value = 110
final value = 297
the increase is the difference between both values
increase = final value - original value = 297 - 110 = 187
percentage increase = (increase/original value)*100
= (187/110)*100
=170
Rewrite each as a rational number
2=
3 1/2 =
.035 =
5.67=
The question is: You and your second favorite pet moose each start a new job. After w weeks, you have (10w +120) dollars in your bank account and your pet moose has (45w + 25) dollars in their account. How much money do you have after 5 weeks? How much money does your pet moose have after the same 5 weeks?
Money after w weeks in my account :
[tex]M_m=10w+20[/tex]
Money after w weeks in pet moose account :
[tex]M_p=45w+25[/tex]
Now,
Money I have after 5 weeks, [tex]M_m=10w+20=(10\times 5)+20=\$70[/tex]
Money pet have after 5 weeks, [tex]M_p=(45\times 5)+25=\$250[/tex]
Hence, this is the required solution.
A rectangle has an area of 2,340 sq ft and a width of 45 ft. What is its length ? What is the perimeter
Answer:
length is 52 ft
perimeter is 194
Step-by-step explanation:
2340/45 = 52
2(52+45) = 194
what are the x-intercepts of this graph (show ur work)
Answer:
X intercepts are (-2, 0) and (4,0). it shows on the graph. I wear glasses and I can clearly see. Did u lose ur eyes in iraq or sm????
Step-by-step explanation:
See attachment for math work and answer.
You can also express the x-intercepts as points: (-2, 0) and (4, 0).
5y-30=-5y+30 and also can you show the steps :}
5y-30=-5y+30
add 30 to both sides
5y = -5y+60
add 5y to both sides
10y = 60
divide both sides by 10
y = 6
hope this helps!
Leah is an interior designer. She will use the scale drawing shown of two bedrooms and a shared bathroom to create her designs for her client. 25 points please help quick!!!!!
What are the dimensions of the outer rectangle in Leah’s scale drawing?
A. 3 3/8 x 5 5/8
B. 5 5/8 x 9
C. 6 3/4 x 5 5/8
D. 15 x 24
*see attachment for the scale drawing
Answer:
5⅝ in × 9 in
Step-by-step explanation:
Dimensions of the actual length = 15 ft by (9 + 6 + 9) ft
Dimensions of the actual length = 15 by 24 ft = 15 ft × 24 ft
Using the scale given as ⅜ in = 1 ft, let's find the dimensions of Leah's scale drawing of the outer rectangle.
Multiply each dimension in ft by ⅜ to get the dimension of the outer rectangle's scale drawing:
[tex] 15 * \frac{3}{8} = \frac{15*3}{8} = \frac{45}{8} = 5\frac{5}{8} [/tex]
[tex] 24 * \frac{3}{8} = 3 * 3 = 9 in [/tex]
Therefore, the dimensions of the scale drawing of the outer rectangle = 5⅝ in × 9 in
Combine like terms to create an equivalent expression. -\dfrac{1}{2}\left(-3y+10\right)−
2
1
(−3y+10)
Answer:
3/2y-5
Step-by-step explanation:
The expression – 1/2 (–3y + 10) is equivalent to the expression (3/2)y – 5.
What is an equivalent expression?The equivalent is the expressions that are in different forms but are equal to the same value.
The expression is given below.
⇒ – 1/2 (–3y + 10)
Simplify the equation, we have
⇒ (3/2)y – 5
More about the equivalent link is given below.
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Select the correct answer.
To bake one cake, Drew uses 18 ounces of flour. He has 850 ounces of flour. Let y represent the ounces of flour left and x represent the number of cakes he has baked. When the situation is modeled on a graph, what are the slope and the y-intercept of the line representing this situation?
A.
slope = 850 and y-intercept = 18
B.
slope = 18 and y-intercept = 850
C.
slope = -18 and y-intercept = 850
D.
slope = 850 and y-intercept = -18
Answer:
The answer is C, hope that helps:)
Step-by-step explanation:
find an equation of the line through (4,6) and parallel to y=3x+7
Answer: y = 3x - 6
Step-by-step explanation: A line that is parallel to another line must have the same slope, so you already have y = 3x + b. To find b, use the point that they give. b is the y-intercept, so just subtract 3(x) from the y coordinate of the point, where x is the x-coordinate of the given point.
please help. Free the denominator of the fractionfrom irrationality:
[tex] \frac{2}{5 \sqrt{3} } [/tex]
[tex] \frac{ \sqrt{5 } + 2 }{ \sqrt{5} - 2} [/tex]
Answer:
see explanation
Step-by-step explanation:
Given
[tex]\frac{2}{5\sqrt{3} }[/tex]
To rationalise the denominator, multiply the numerator/ denominator by [tex]\sqrt{3}[/tex]
= [tex]\frac{2\sqrt{3} }{5\sqrt{3}(\sqrt{3}) }[/tex]
= [tex]\frac{2\sqrt{3} }{15}[/tex]
-----------------------------------------------------------------------
Given
[tex]\frac{\sqrt{5}+2 }{\sqrt{5}-2 }[/tex]
Multiply the numerator/ denominator by the conjugate of the denominator.
The conjugate of [tex]\sqrt{5}[/tex] - 2 is [tex]\sqrt{5}[/tex] + 2 , then
= [tex]\frac{(\sqrt{5}+2)(\sqrt{5}+2) }{(\sqrt{5}-2)(\sqrt{5}+2) }[/tex] ← expand numerator/denominator using FOIL
= [tex]\frac{5+4\sqrt{5}+4 }{5-4}[/tex]
= [tex]\frac{9+4\sqrt{5} }{1}[/tex]
= 9 + 4[tex]\sqrt{5}[/tex]
how many solutions does a quadratic equation that can be written as the difference of squares have?
Answer:
there are teo solutions that can be written as tge difference of square have.
There are two possible solutions for the quadratic equation that can be written as the difference of squares.
What is a quadratic equation?A quadratic equation is of the form -
y = f(x) = ax² + bx + c
Given is a quadratic equation that can be written as the difference of squares.
A quadratic equation that can be written as the difference of squares is of the form -
(x² - a²)
For the roots, we can write the equation as -
(x² - a²) = 0
x² = a²
x = ± a
Therefore, there are two possible solutions for the quadratic equation that can be written as the difference of squares.
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When dividing 592 by 9.25, how many zeros will be placed in the dividend?
one
two
three
four
Answer:
Two Zeros
Step-by-step explanation:
59200/925
Which is equal to 64
No doubt, the expeced answer is 2. This is because you would ordinarily change the problem to 59200/925 for long division by hand.
For this quotient, you don't need any, because the quotient is 64, a multiple of 4, so the numbers being subtracted are always integers.
_____
If you were dividing 591 by 9.25, you would need an infinite number of zeros—because the decimal portion of the quotient is a repeating decimal with a period of 3 digits.
when you apply combine like terms to the right side of the equation what do you end up with?
the mean number of goals scored is 2.5.
the mean number of away goals scored is 1.8.
How many home and away games have been played in total?
Answer:
2 games.
Step-by-step explanation:
2.5 + 1.8 = 4
4 divided by 2 = 2
Total 32 games home and away games have been played.
What is the mean?The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.
From the bar chart :
We can obtain the total number of goals scored :
Home goals (quarter 1 to quarter 4) :
= (9 + 6 + 8 + 7)
= 30
Away goals (quarter 1 to quarter 4) :
= (2 + 7 + 4 + 5)
= 18
Using the relation :
Mean goals scored = total goals scored / number of games played
Home games :
Mean goals = 2.5
Number of home games played = total goals scored / mean goals
= 30 / 2.5
= 22
Away games :
Mean goals = 1.8
Number of away games played = 18 / 1.8
= 10
Therefore, number of home and away games played in total = 22 + 10 = 32 games
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Damien deposited $250 in an account that earned 3.75% interest compounded annually.He did not make additional withdraws or deposits .what will the balance in his account be at the end of 4 years?
Step-by-step explanation:
[tex] \frac{3.75}{100} \times 250 =9.375[/tex]
[tex]9.375 \times 4 = 37.50[/tex]
[tex]250 + 37.50 = 287.50[/tex]
I think this is the answer
What is the greatest common factor (GCF) of 51 and 85? A. 17 B. 3 C. 5 D. 23
Answer:
!7 hope this helps:)
Step-by-step explanation:
giving brain list ..
options:
C is the midpoint of BD
reflexive property
definition of midpoint
vertical angles
given
Answer:
1. A is congruent to C
2. Given
3. I think line ac is congruent to line ce, don't know the options
4. angle ABC is congruent to angle DCE
5. Possibly vertical angles
What is the quotient of 5.67 x 10^7 and 2.7 x 10^4 expressed in scientific notar
Answer:
2.1 * 10 ^3
Step-by-step explanation:
5.67 * 10 ^7 ÷2.7 x 10^4
Divide the numbers
5.67 / 2.7 =2.1
Divide the exponents
10^7 / 10 ^4
Remember when dividing power, we subtract the exponents
10 ^(7-4) = 10^3
Put this back together
2.1 * 10 ^3
Verify that this is in scientific notation
Since this is in scientific notation, we are done
Answer:
2.1x10 to the power of three
Step-by-step explanation:
\frac{5.67\times 10^7}{2.7\times 10^4}
2.7×10
4
5.67×10
7
Divide them.
\frac{5.67}{2.7}\times \frac{10^7}{10^4}
2.7
5.67
×
10
4
10
7
Divide numbers and 10's separeately.
2.1\times 10^3
2.1×10
3
Subtract exponents.
After all markdowns and discounts, Charlene's prom dress cost her $22 before tax. The dress was on a rack labeled "50% off lowest marked price," and the lowest marked price was already a 75% reduction from the original price. What was the original price of the dress?
Answer: $88.
Step-by-step explanation:
given data:
The cost of the dress for the prom = $22
label of the rack the dresss was on = 50%.
lowest marked price for the dress = 75%.
Solution:
if the lowest marked price of the cloth was already 75%.
and the current cost of the clothe is $22
the original cost of the cloth would be
100% – 75% = 0.25%
= $22 * 100 / 0.25%
= $88.
The original cost of the dress was $88
Answer:
$88
Step-by-step explanation:
Which number line best shows the position of 13?
What’s is the answer to this problem
Answer:
B.2≤x≤5
Step-by-step explanation:
Answer:
Option B is the correct answer
Step-by-step explanation:
[tex] 2 \leqslant x \leqslant 5[/tex] is the domain of the given problem.
Suppose x, y, and z are all rational numbers. Is LaTeX: \frac{z}{\sqrt{x^2-y^2}}z x 2 − y 2 a rational number? Explain your answer.
Answer:
The square root of 2 is not rational, i.e. it is irrational. Explanation: We can think of a rational number as that which can be expressed as a fraction or ratio of two integers. Irrational numbers do not terminate or repeat, and cannot be represented by a finite … Suppose √2 is rational.
Step-by-step explanation:
3.46x + 6.38 = -4 the answer
Answer:
x = -3
Step-by-step explanation:
start with 3.46x + 6.38 = -4. Then take away 6.38 from both sides to get 3.46x=-10.38. Then you divide both sides by 3.46 to get x = -3.
Find the average rate of change of g(x)=3x^2 ver the interval [-5, -3].
Answer:
ill help
Step-by-step explanation:
look at image..........................
Answer:
8p+25b
Step-by-step explanation:
Answer:
8p+25b
Step-by-step explanation:
You dont know how many of each he bought so you use the variables. so, p-packets b-boxes. You put them in w the numbers, 8p(packets) 25b(boxes)
Find a counterexample to show that the given conjecture is false:
The sum of two positive even integers is always an odd integer.
Answer:
20 + 16 = 36
Step-by-step explanation:
The conjecture: "The sum of two positive even integers is always an odd integer" can be easily be proven false with a counterexample.
Pick A=20 and B=16, both are positive even integers.
The sum of both A + B = 36 is an even integer. This is a counterexample because being even is the contrary of being odd.
Counterexample: 20 + 16 = 36
In fact, the conjecture is always false, since there cannot be found any pair of positive integers whose sum is odd.
Other possible counterexamples are:
10 + 8, 700 + 40, 12 + 14, etc.
need help with questions................
Answer:
not a function
Step-by-step explanation:
you can not have one-to-many
there is two 3 in the X column
The area of a square with sides of length s is given by A = s^2. Find the rate of change of the area with respect to s when s = 5 meters.
Answer:
10
Step-by-step explanation:
A = s^2
Differentiate each side with respect to s
dA /ds = 2 s
Let s = 5 meters
dA /ds = 2 *5
dA /ds = 10
m=−8j−9k+9
k=m+8j−9−9
k=m−8j−9
k=m−8j+9−9
k=m+8j−9
Answer:
B
Step-by-step explanation:
Dude trust me