Rita will earn $897 for working 52 hours.
Word problems in mathematics are mathematical operations that are applied to solve real life cases.
From the information given:
Rita's earnings are dependent on the hours she worksIf Rita worked for 22 hours, she earns $379.50
Now, if Rita worked for 52 hours, the amount Rita will earn can be expressed by using the relation:
[tex]\mathbf{= \dfrac{52 \ hours \times \$379.50}{22 \ hours} }[/tex]
= $897
Learn more about word problems in mathematics here:
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A marquee with the dimensions as shown is
made from canvas. The marquee has no floor.
Find the total cost of the canvas if it costs
$31.50 per square metre.
Answer:
$63.00
$31.50×2=$63.00
Find the equation of this line.
Given triangle DEF where ∠D = (7b +1)∘, ∠E = (2b + 1)∘, and ∠F = ( b + 8)∘. What is the measure of ∠E?
=============================================
Explanation:
For any triangle, the three interior angles always add to 180.
D+E+F = 180
(7b+1) + (2b+1) + (b+8) = 180
(7b+2b+b) + (1+1+8) = 180
10b+10 = 180
10b = 180-10
10b = 170
b = 170/10
b = 17
Use this value of b to find the three angle measures
D = 7b+1 = 7*17+1 = 119+1 = 120E = 2b+1 = 2*17+1 = 34+1 = 35 degreesF = b+8 = 17+8 = 25As a check,
D+E+F = 120+35+25 = 120+60 = 180
which helps confirm the correct answers.
Help me plz plz plz plz plz plz plz plz plz plz plz
can someone help me with this
Answer:
A. y = 3x.
Step-by-step explanation:Relation 2 is a straight line that does not pass through the origin, so it is a partial variation.
Verify the following identity:
[tex]\dfrac{1-\sin t}{\cos^2t}+\dfrac{1}{1-\sin t}=2\sec^2t[/tex]
We will simplify the left hand side of the equation to look like the right
[tex]\displaystyle \frac{1-sin(t)}{cos^{2}(t)} + \frac{1}{1 - sin(t)}[/tex]
taking the LCM
[tex]\displaystyle \frac{[1-sin(t)]^{2} + cos^{2}(t)}{[cos^{2}(t)][1 - sin(t)]}[/tex]
expanding the binomial in the numerator
[tex]\displaystyle \frac{[1 + sin^{2}(t) - 2sin(t) + cos^{2}(t)]}{[cos^{2}(t)][1 - sin(t)]}[/tex]
Since sin²x + cos²x = 1
[tex]\displaystyle \frac{[2 - 2sin(t)]}{[cos^{2}(t)][1 - sin(t)]}[/tex]
factoring out the 2 from the numerator
[tex]\displaystyle \frac{2[1 - sin(t)]}{[cos^{2}(t)][1 - sin(t)]}[/tex]
1-sin(t) will cancel out
[tex]\displaystyle \frac{2}{cos^{2}(t)}[/tex]
since cos²(t) = 1/(sec²(t))
[tex]2 sec^{2}(t)[/tex]
which is equal to the right hand side of our given equation.
So we verified the identity!
Answer:
[tex]\rm 2 \sec {}^{2} T[/tex](Verified identity)
Step-by-step explanation:
Please refer to the attachment for calculations.
I hope this helps!
Multiply: (3x)(x4 + 5)
Answer:
12x² + 15x
Step-by-step explanation:
(3x × 4x) + ( 3x × 15)
Answer:
(3x) (X 4+5)
3x×(x×4+5)
3x×(4x+5)
12x^2+15x answer
Draw the graph of y= -6
Answer:
See attachment.
Step-by-step explanation:
Evaluate the figure below.
Find the value of x.
Formula for area of a rectangle: A = lw
Answer:
x=9,-7
Step-by-step explanation:
(x+3)(x-5)=48
x^2-2x-15-48=0
x^2-2x-63=0
(x-9)(x+7)=0
x=9,-7
dont use the negative number becuase it would not make sense in this scenario
width = 12
length=4
PLS HELP Jake has two dogs, Euclid and Pythagoras. Euclid is a smaller dog and Pythagoras is larger. Jake found that Pythagoras lost 13 pounds from January to June. If Pythagoras gains 1.2 times Euclid’s weight, Pythagoras’s weight would still be 1 4 pound less than he did in January. What is Euclid’s weight? (a) Write an equation that represents the scenario. Begin by defining your variable. (b) Solve the equation. Show your work. (c) What is Euclid’s weight? (d) Jake adopts a third dog, Riemann. Riemann weighs exactly twice what Euclid weighs. The combined weight of the three dogs is 1 60 2 pounds. What is Riemann’s weight, and what is Pythagoras’s weight? Show your work.
Answer: (weight = w)
This is a lot to answer but. (A) (13 x 1.2) - 14 = w
w = 1.6
Step-by-step explanation:
How do I do this problem? We’ve been learning this recently and there’s a test we have on Thursday And I’m still not quite sure how to do these types of problems
Answer:
I have a test on thursday toooooooo
Step-by-step explanation:
D. A car was sold for
$26,350. Its value decreases
by 17% each year.
a) Find an explicit formula
for cost of the car Cn after
the nth year.
b) What is the car's value
after 8 years?
c) After 3 years, how much
has the car's value
decreased?
a. The explicit formula for the cost of the car in the nth year is $26,350(0.83^n) .
b. The car's value after 8 years is $5,934.79.
c. The decrease in the value of the car is $11,283.41.
The formula that can be used to determine the value of the car with a decline in value is:
FV = P (1 - r)^n
FV = Future value of the car
P = cost of the car
R =rate of deprecation
N = number of years
Cost of the car after n years = $26,350 x (1 - 0.17)^n
$26,350(0.83^n)
Car's value after 8 years = $26,350 x (1 - 0.17)^8
$26,350(0.83^8) = $5,934.79
Decrease in the value of the car after 3 years= cost of the car - value of the car in 3 years
Value of the car in 3 years = $26,350 x (1 - 0.17)^3 = $15,066.59
$26,350 - $15,066.59 = $11,283.41
To learn more about future value, please check: https://brainly.com/question/18760477
Solve the formula for the specified variable.
V=AQT for A
Answer:
[tex]A = \frac{V}{QT}[/tex]
Step-by-step explanation:
To solve the problem you want to have A on one side, everything else on the other side. You can move over the variables by divind them from each side as shown:
[tex]AQT = V[/tex]
[tex]AQT = \frac{V}{1}[/tex]
[tex]AQ = \frac{V}{T}[/tex]
[tex]A = \frac{V}{QT}[/tex]
Can someone please take time out of their day and help me with this
NO LINKS PLS
The ratio of sugar to flour used in a pudding recipe is 2:1. Which figure shows equivalent ratios?
A graph is drawn. The title is Pudding Recipe. The axis label is Sugar in cups. The x axis values are 0, 2, 4, 6, 8, 10, 12. The y-axis label is Flour in cups. The y axis values are 0, 1, 2, 3, 4, 5, 6. Points are plotted on the ordered pairs 1,2 and 2,4 and 3,6.
A graph is drawn. The title is Pudding Recipe. The axis label is Sugar in cups. The x axis values are 0, 2, 4, 6, 8, 10, 12. The y axis label is Flour in cups. The y axis values are 0, 1, 2, 3, 4, 5, 6. Points are plotted on the ordered pairs 2,2 and 4,3 and 6,4.
A graph is drawn. The title is Pudding Recipe. The x axis label is Sugar in cups. The x axis values are 0, 2, 4, 6, 8, 10, 12. The y axis label is Flour in cups. The y axis values are 0, 1, 2, 3, 4, 5, 6. Points are plotted on the ordered pairs 2,1 and 4,2 and 6,3.
A graph is drawn. The title is Pudding Recipe. The axis label is Sugar in cups. The x axis values are 0, 2, 4, 6, 8, 10, 12. The y axis label is Flour in cups. The y axis values are 0, 1, 2, 3, 4, 5, 6. Points are plotted on the ordered pairs 2,2 and 4,4 and 6,6.
Answer:
Answer #3
Step-by-step explanation:
The ratio of sugar to flour is 2:1, so the x values need to be twice as big as the y values in the points.
Sheila has 11
1
2
pounds of potato salad. She wants to divide the potato salad into containers, each of which holds 1
1
4
pounds. How many containers does she need? Complete the explanation.
Containers are counted in
mixed
numbers, so she will need containers.
Answer:
She will need 10 containers
Step-by-step explanation:
Using long division and converting both solutions to decimals we can use the equation 11.50 divided by 1.25. This will equal 9.20, we then know that she would need 9 containers but we would still have a remainder of .20 so in total to fit everything she would need 10.
I hope this helps have a great day :)
9) Jamar drove 228 miles and used 6 gallons of gas.
a) How many miles/gallon did he get on the trip?
b) On another trip, he used 9 gallons of gas. How far did he travel?
Answer: 38 miles per gallon ; 342 miles.
Step-by-step explanation:
The miles/gallon that he got on the trip will be:
= 228/6
= 38 miles per gallon.
When he used 9 gallons of gas, the distance travelled will be:
= 38 × 9
= 342 miles
Answer:
Question :
Jamar drove 228 miles and used 6 gallons of gas.
a) How many miles/gallon did he get on the trip?b) On another trip, he used 9 gallons of gas. How far did he travel?Solution :
a) How many miles/gallon did he get on the trip?
[tex]{\implies{\sf{\dfrac{228}{6}}}}[/tex]
[tex]{\implies{\sf{ \cancel{\dfrac{228}{6}}}}}[/tex]
[tex]{\implies{\sf{\underline{\underline{\red{36 \: miles/gallon}}}}}}[/tex]
Hence, he get 38 miles/gallon for his trip.
[tex]\rule{200}2[/tex]
b) On another trip, he used 9 gallons of gas. How far did he travel?
[tex]{\implies{\sf{38 \times 9}}}[/tex]
[tex]{\implies{\sf{\underline{\underline{\red{342 \: miles}}}}}}[/tex]
Hence, he traveled 342 miles by using o gallon og gas.
[tex]\underline{\rule{220pt}{3pt}}[/tex]
a school is arranging a field trip. the school spends 814.98 dollars on passes for 32 students and 2 teachers. they also spend 309.76 dollars on lunch for just the students. how much money was spent on a pass and lunch for each student?
Answer:
35.00?
Step-by-step explanation:
A triangle has an area of 16in^2 and a height of 4in. What is the length of the base?
Answer:
8 inches
Step-by-step explanation:
The area of a triangle is:
a = 1/2 × b × h
b = length of the baseh = heightWe can sub in the values we know:
16in² = 1/2 × b × 4in
To find b, we divide both sides by 1/2 and 4in:
16in² ÷ (1/2 × 4in) = b
16in² ÷ 2in = b
b = 8in
Hope this helps!
look at this inequality
cos teta divide by 1+cos teta equals to 1-tan teta divide by cos teta
Answer:
tan teta =cos teta is the answer
Complete the sentences below based on the graph of the function.
Please help!
Answer:
20 km20 km/h5 km/hStep-by-step explanation:
We assume the graph is a plot of Sean's distance from home as he drives to work, works 8 hours, then drives home with a 2-hour stop along the way. It also appears that t is measured in hours after midnight.
The graph shows Sean's distance from home between 9 a.m. and 5 p.m. (t=17) is 20 km. Based on our assumptions, ...
Sean's workplace is located 20 km from his home.
__
Speed is the change in distance divided by the change in time. Between 8 a.m. and 9 a.m. Sean's position changes by 20 km. His speed is then ...
(20 km)/(1 h) = 20 km/h
Sean's speed driving to work was 20 km/h.
__
Between 5 p.m. (t=17) and 7 p.m. (t=19), Sean's position changes from 20 km to 10 km from home. That change took 2 hours, so his speed was ...
(10 km)/(2 h) = 5 km/h
Sean's speed between 5 p.m. and 7 p.m. was 5 km/h.
_____
Additional comment
The units of speed (kilometers per hour) tell you it is computed by dividing kilometers by hours. ("Per" in this context means "divided by".)
While the slope of the line on the graph between 5 p.m. and 7 p.m. is negative, the speed is positive. The negative sign means Sean's speed is not away from home, but is toward home. When the direction (toward, away) is included, the result is a vector called "velocity." Speed is just the magnitude of the velocity vector. It ignores direction.
PNC charges a monthly fee of $8 on checking accounts and an overdraft protection fee of $35. Neela's online banking showed she had a balance of $530 when she wrote a check for $375. Three days later a charge of $273 that she had forgot about appeared on the same day that the check cleared. How much money must she deposit to raise her balance to 0 ?
The amount of money Neela needs to deposit to raise her balance to 0 is; $163
Since Neela's online banking showed she's been charged a monthly fee of $8 on checking accounts and an overdraft protection fee of $35.
Total charges = $8 + $35 = $43.Subsequently, she wrote a check of $375 in which case; Three days later a charge of $273 that she had forgot about appeared on the same day that the check cleared.
Total debit amount = $375 + $275 = $650.Total debit = $650 + $43 = $693Since the account showed she had a balance of $530.
Her new account balance is; $530 - $693 = -$163
Therefore, Neela needs to deposit $163 to raise her balance to 0.
Read more on arithmetics:
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Someone help me with this math question?
Answer:
B and D
Step-by-step explanation:
What is the maximum point OR minimun point of this equation?
y = 1.8 ( x + 2.4 ) 2 + 2.4
Thanks for ur help!!!!!!!!
-salary of £1410
-26% of the total profit the company makes from her sales
Answer:
I'm not sure what the question is actually asking but 26% of the profit is 366.60
Step-by-step explanation:
if u subtract the profit, u have 1043.40 remaining
Area of rectangle and triangles!! HELP ASAPPP
Answer:
13. 15
14. 7.25
15. 18.7
16. 40.515
17. 9.6
18. 12.95
19. 20.4
20. 16.2
21. 24
22. 25.65
What is 7(x-3) Equal to
Answer:
7x-21
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PLS HURRY!!! NO LINKS, NO STEALING POINTS, AND NO USELESS ANSWERS OR YOU WILL BE REPORTED!!!!!!
What type of triangle is this?
Answer:
It's an obtuse Scalene Triangle
Step-by-step explanation:
Look up triangle angle calculator and enter in the sides
Two identical squares of sides 17 cm overlap to form a rectangle as shown below. The shaded part is the overlapping region
Answer:
B 68 sq cm
Step-by-step explanation:
There's an overlap of 4
2*13 + 4
4 * 17 is 68
Katie don't delete my work!