Answer:
37
Step-by-step explanation:
a + b for a=24 and b=13
plug in
24 + 13
= 37
Answer:
a + b = 37
Step-by-step explanation:
substitute the values a = 24 and b = 13 into the expression
a + b = 24 + 13 = 37
a vehicle with power steering makes a hissing or whirring sound when the wheel is turned all the way to the stops. Technician A says that this is a normal condition. Technician B says a loud squealing noise during sharp turns may be caused by worn ball joints. who is correct?
Answer:
Technician B only
Step-by-step explanation:
Clunking Noises From the Front Suspension. One of the most common symptoms of a problem with suspension ball joints is clunking noises coming from the vehicle's front suspension. ... Usually, the clunking will get continuously louder as the ball joints wear out, or until they eventually completely fail and break.
Final answer:
Technician B is correct. A loud squealing noise during sharp turns may be caused by worn ball joints and indicates a potential issue with the suspension system.
Explanation:
Technician B is correct. A loud squealing noise during sharp turns can indeed be caused by worn ball joints. This indicates a potential issue with the suspension system which includes components like ball joints. On the other hand, a hissing or whirring sound when the wheel is turned all the way to the stops in a vehicle with power steering is not typically considered a normal condition.
Last month Rudy’s Tacos sold 22 dinner specials. The next month they released a new commercial and sold 250% of last monrh’s dinners. How many dinner specials did they sell this month?
Answer:
100
Step-by-step explanation:
250/100×22= 5500/100
=55
Valerie sold 42 tickets to the school play and mark sold 24 tickets. what is the ratio of the number of tickets Valerie sold to the number of tickets mark sold?
The ratio of tickets sold by Valerie to those sold by Mark is 7:4, after simplifying the original ratio of 42:24 by dividing both numbers by 6.
To find the ratio of tickets sold by Valerie to those sold by Mark, we simply compare the two quantities. Valerie sold 42 tickets, and Mark sold 24 tickets. Therefore, the ratio can be expressed as 42:24. This ratio can be simplified by dividing both numbers by their greatest common divisor, which is 6 in this case. Thus, after simplification, the ratio of tickets sold by Valerie to Mark is 7:4. This process illustrates the method of comparing quantities and simplifying ratios, providing a clear and concise representation of the relative ticket sales between Valerie and Mark.
a farmer bought a number of pigs for $180. However, 3 of them died before he could sell the rest at a profit of 8 per pig. His total profit was $109. how many pigs did he originally buy?
The farmer originally bought 41 pigs.
Let x be the number of pigs the farmer originally bought.The total cost of the pigs is $180.After 3 died, he was left with x - 3 pigs.He sold these pigs at a profit of $8 per pig,Resulting in a total profit of 8(x - 3).We know his total profit was $109. So, we can set up an equation:Profit = Selling price - Cost price8(x - 3) = 109 (his total profit) + 180 (cost price)
Combining like terms:8x - 24 = 289
Adding 24 to both sides:8x = 313
Dividing both sides by 8:x = 39.125
Since the farmer can't buy parts of pigs, we round x up to the nearest whole number, which is 40.However, there's a slight discrepancy because the profit wouldn't be exactly $109 if he had 40 pigs. This is because the profit is calculated per pig, and a fraction of a pig wouldn't generate a proportional profit.Therefore, let's try with x = 41:Profit = 8(41 - 3)= 8 * 38
= $304
Total earnings = Profit + Cost price= $304 + $180 = $484
Since the cost price is $180 and the total earnings are $484,The profit would be $484 - $180 = $304, This matches the calculation with 8 pigs sold at a profit of $8 each.Therefore, the farmer originally bought 41 pigs.
A geometric sequence is shown below: 66 a0, -11, 22, 56 a1, 88, -176. A) What is the common ratio for this geometric sequence? 69 a2 B) What are the missing terms in the geometric sequence shown above?
Answer:
Step-by-step explanation:
Given a geometric sequence as
66 a0, -11, 22, 56 a1, 88, -176
We have to find the common ratio and also the missing numbers.
A geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.
Hence by comparing two consecutive numbers let us find common ratio.
Consider 88 and -176. -176 = 88(-2) Hence common ratio is -2
a0 = -11/-2 = 5.5
a1 = 88/-2 = -44
Missing terms are -132 and 5.5
common ratio = -2
What is the rate of change ???
Answer:
24 photos per day i believe
Which value are solution of the inequality? 3r<4r-6
Answer: r > 6
Step-by-step explanation:
3r < 4r - 6
-4r -4r
-r < -6
÷-1 ↓ ÷-1
r > 6
Which is a Proportional Relationship?
A. x + y=3
B. y= 3x^2
C. y= 4x - 1
D. y= 12.5x
If x and y are proportional, then the quotient y and x is constant.
[tex]\dfrac{y}{x}=a-constant[/tex]
The equation of a Proportional Relationship:
[tex]\dfrac{y}{x}=a\qquad\text{multiply both sides by }\ x\neq0\\\\y=ax[/tex]
Therefore your answer is
D. y = 12.5xA string of a kite is 100 meters long and it makes an angle of 60° with horizontal. Find the height of the kite and then find the ground distance from the kite to the person flying the kite,assuming that there is no slack in the string.
1. Draw a figure for the information given in the problems.
2. Using the correct trig function, write out the mathematical problem.
3. Solve the problem to find the missing sides.
Answer:
Height of the kite is [tex]=50 \sqrt{3}[/tex] meters.
Ground distance from the kite to the person flying the kite is 50 meters.
Step-by-step explanation:
Given that a string of a kite is 100 meters long and it makes an angle of 60° with horizontal.
Which mans we are getting a shape of right angle triangle as shown in picture. Where "y" is the height of the kite and "x" is the ground distance from the kite to the person flying the kite. Now we can use trigonometric ratios to find the values of x and y.
[tex]\sin\left(60^o\right)=\frac{\left[opposite\right]}{\left[hypotenuse\right]}=\frac{y}{100}[/tex]
[tex]\sin\left(60^o\right)=\frac{y}{100}[/tex]
[tex]\frac{\sqrt{3}}{2}=\frac{y}{100}[/tex]
[tex]\frac{\sqrt{3}}{2}*100=y[/tex]
[tex]50 \sqrt{3}=y[/tex]
Hence height of the kite is [tex]=50 \sqrt{3}[/tex] meters.
similarly:
[tex]\cos\left(60^o\right)=\frac{\left[adjcent\right]}{\left[hypotenuse\right]}=\frac{x}{100}[/tex]
[tex]\cos\left(60^o\right)=\frac{x}{100}[/tex]
[tex]\frac{1}{2}=\frac{x}{100}[/tex]
[tex]\frac{1}{2}*100=x[/tex]
[tex]50=x[/tex]
Hence ground distance from the kite to the person flying the kite is 50 meters.
The height of the kite and the distance from kite to person are 86.6 meters and 50 meters respectively.
Using Trigonometry concept ;
The height of the kite , y can be obtained thus ;
Sine = opposite / HypotenusSin(60°) = y / 100
y = sin(60°) × 100
y = 86.6 meters
B.)
The distance from the kite to the person would be ;
Tangent = opposite / AdjacentTan(60) = 86.6667 / x
d = 86.6667 / Tan(60)
d = 50 meters
Therefore, the height of the kite and the distance from kite to person are 86.6 meters and 50 meters respectively.
an auto transport truck holds 12 cars. A car dealer plans to bring in 1150 new cars in June and July. If an auto transport truck is filled for each delivery, except for the last one, how many full truckloads are needed and how many cars will be in the last truck?
Answer: 96 truckloads, 95 will be full, the last on will have 10 cars
Step-by-step explanation: 1150/12= 95.888> 95*12=1140, 1140+10=1150
A graph of a trapezoid can have diagonals with slopes that are negative reciprocals and two pairs of adjacent sides that are congruent. True or False Explain your reasoning.
Answer: False
Explanation: What this statement describes is not a trapezoid, but rather a kite. A kite is a quadrilateral with two sides that are next to each other (ie adjacent) that are congruent. This is the result of combining two congruent triangles together. The diagonals of any kite are perpendicular, which is another way of saying "the diagonals have slope that are negative reciprocals".
If you had adjacent sides congruent, and a pair of parallel opposite sides, then the other two opposite sides must be parallel as well, but this would make the figure a parallelogram and not a trapezoid. This is another way to see why the answer is false.
Check out the attached image for an example.
I believe it is A but I am not sure.
Answer: The answer is A
Step-by-step explanation: You use substitution because it says that 4-t is equal to r.
In Maria's store, the customer count this week is 3000. Maria is planning a promotion and expects a 5% increase in customers next week. How many additional customers is Maria expecting?
Answer:
There will be an additional 150 customers.
Step-by-step explanation:
First, we need to find what 5% of 3000 is, to do this we need to use the following formula:
Amount x [tex]\frac{percentage}{100}[/tex]
Plug the values in:
3000 x [tex]\frac{5}{100}[/tex] = 150
So there will be an additional 150 customers!
Maria expects 150 additional customers next week, based on a 5% increase from her current customer count of 3000. The total number of customers anticipated is 3150. This calculation involves finding 5% of the current count and adding it to the original number.
To find out how many additional customers Maria is expecting, we need to calculate 5% of the current 3000 customers and then add this number to the original customer count.
Calculate 5% of the current customer count:
5% of 3000 = 0.05 * 3000 = 150 customers
Add the additional customers to the current customer count:3000 + 150 = 3150 customers
So, Maria is expecting an additional 150 customers next week due to the promotion.
A zoo has 19 monkeys and 10 chimpanzees
Answer: It has 29 animals from this info.
The ratio comparing the number of monkeys to the number of chimpanzees in the zoo is[tex]\(19\) to \(10\), \(19:10\), or \(19/10\). This indicates that for every \(19\) monkeys, there are \(10\)[/tex]chimpanzees in the zoo.
The ratio comparing the number of monkeys to the number of chimpanzees in the zoo is expressed as [tex]\(19\) to \(10\), \(19:10\), or \(19/10\). This indicates that for every \(19\) monkeys, there are \(10\) chimpanzees in the zoo. Additionally, it can be written as \(10\) to \(19\), \(10:19\), or \(10/19\), showing the reverse comparison where for every \(10\) chimpanzees, there are \(19\) monkeys. Lastly, it can be represented as \(1.9:1\) or \(1.9/1\), highlighting that for every \(1.9\) monkeys, there is \(1\)[/tex]chimpanzee. These different representations offer flexibility in conveying the proportional relationship between the two quantities, allowing for a clearer understanding of the relative abundance of monkeys and chimpanzees in the zoo.
complete question
Write a ratio for the situation in three ways, comparing the first quantity to the second quantity. (1 point) A zoo has 19 monkeys and 10 chimpanzees. 19 to 10, 19:10, [tex]19/10 10 to 29, 10:29, 10/19 19 to 29, 19 : 29, 19/29 10 to 19, , 10:19 10/19[/tex]
The original sale price of an item at markdowns is $110.95. You have an additional 20% off coupon for markdowns for purchases totaling $90.00 or more. Using the coupon, how much more do save when compared to the original sale price?
Answer:
$22.19
Step-by-step explanation:
20% off the original price = $110.95 - (20% x $110.95)
20% x $110.95 = $22.19
$110.95 - $22.19 = $88.76
difference = $110.95 - $88.76 = $22.19
Answer:
You will save $22.19 when compared to the original sale price.
Step-by-step explanation:
The original sale price of an item at markdowns is $110.95.
You have an additional 20% off coupon for markdowns for purchases totaling $90.00 or more.
So, this becomes:
[tex]0.20\times110.95=22.19[/tex] dollars
Hence, you will save $22.19 when compared to the original sale price.
Write an equation for the line that passes through the given point and is parallel to the graph of the given equation
Step-by-step explanation:
To find the equation of a line given a point and a parallel line we must use point-slope form.
y - y1 = m(x - x1)
When we plug into this, we use the point in for (x1, y1) and the slope of the parallel line as m.
List the first 5 multiples, and find ALL the factors of 13
Answer:
13,26,39,52,65,78 are the multiples 13 and 1 are the all of the factors
Hi There!
List the multiples and factors of 13:
Multiples: 13, 26, 39, 52, 65...
Factors: 1, 13...
Hope This Helps :)
What is the square root of -15
Answer:
you cannot do a square root of a negative number so there is no answer.
Step-by-step explanation:
How much will you save per lb, by buying the least expensive? Round to the nearest cent. 2.5 lbs for $8.75 or 3 pounds for $9.75. A.$0.40 B.$0.35 C.$0.30 D.$0.25.
Answer: The answer is $0.25.
Step-by-step explanation:
divide the amounts of money by the pounds to get dollars for each pound then subtract the numbers
and the answer is $0.25.
Answer:
you're answer is D.) 0.25
Step-by-step explanation:
I took the test and scored pretty good
What is the missing numerator?
2/7 = n/21
A. 3
B. 5
C. 6
D. 8
Answer:
C. 6
Step-by-step explanation:
2 n
-------- = -------------
7 21
We can use cross products to solve this.
2 * 21 = 7 * n
42 = 7n
Divide each side by 7
42/7 = 7n/7
6 =n
Use Distributive property to rewrite each algebraic expression problem: 4(x+2
Answer:4x+8
Step-by-step explanation:
4x+8, 4*x+4*2 for the distributive property
Which algebraic rule describes the transformation?
A) (x, y) → (x + 2, y + 5)
B) (x, y) → (x − 2, y + 5)
C) (x, y) → (x + 2, y − 5)
D) (x, y) → (x − 2, y − 5)
Answer:
D
Step-by-step explanation:
The original figure was was moved 2 units to the left (-2), and 5 units down (-5).
Answer:
D is correct.
Step-by-step explanation:
In the given figure two rectangle MNOP and M'N'O'P'
To choose correct transformation rule from MNOP to M'N'O'P'
So, we change for point M
M(-2,3) → M'(-4,-2)
If shift M 2 unit left
M(-2,3) → M(-2-2,3)
Now, shift 5 unit down
M(-2-2,3) → M(-4,-2) ⇔M'(-4,-2)
So,
(x,y) → (x-2,y-5)
Rule: (x,y) → (x-2,y-5)
Using this rule get MNOP to M'N'O'P'
Division in ratio: A company has a policy that the ratio between its full time employees and its part time employees should be fixed. (a) There are 25 full time employees and 10 part time employees. What is the ratio? (b) The company takes on more staff. There are now 30 full time employees. How many part time employees are there? (c) A year later, the firm is successful. There are now 16 part time employees. How many full time employees are there?
Answer:
a) 2.5
b) 12
c) 40
Step-by-step explanation:
a) The ratio would be the relation between fixed and part time employees: for this would be 25/10= 2.5 Fixed per part time employee
b) Previous we got the ratio. So we have to divvide the 30 fixed by 2.5 to meet units
c) b) Previous we got the ratio. So we have to multiply the 16 for 2.5 to meet units
3 equivalent ratios for 5/7
Answer:
10/14, 15/21, and 20,28
Step-by-step explanation:
You just need to multiply a number on the numerator and the denominator. Remember, whatever you do to the numerator you have to do on your denominator.
Find the midpoint of the segment with the following endpoints.
(
−
10
,
−
7
)
and
(
−
3
,
−
10
)
(−10,−7) and (−3,−10)
Answer:
M = (-13/2, -17/2)
Step-by-step explanation:
The midpoint of two points is half-way between the x-values and the y-values.
The formula is
M = ((x₁ +x₂)/2, (y₁ + y₂)/2)
For the points (−10,−7) and (−3,−10),
M = ((-3 + (-10))/2), (-10 + (-7))/2))
M = ((-3 - 10)/2), (-10 - 7)/2))
M = (-13/2, -17/2)
The graph below shows your two points at (−10,−7) and (−3,−10) and the mid-point at (-13/2, -17/2).
turn 6/5 into mixed mumber
Answer:
[tex]1\frac{1}{5}[/tex]
Answer:
1 1/5
Step-by-step explanation:
There is one whole(5/5) and then 1 extra 5th(1/5), so the answer is 1 1/5.
can anyone help me graph these problems??? thank you so much :)
please tell me the points to put on the graphs
f(x) = -0.5x + 3
f(x) = -1/2x - 5
f(x) = 3/4x + 2
Answer:
1 = - 1/5
2= - 1/7
3= 3/6
Step-by-step explanation:
the step by step instructions are on the pic. but simply...
go the the full number then count from there. for example:
#2 - you go down 5 then since it says negative u go over 1 to the left then 2 down.
is the following a function?
Answer:
No
Step-by-step explanation:
For this to be a function there must be only 1 value of y ( range) for any given value of x in the domain.
This is not the case here as
x = - 1 → y = - 2 and x = 6 → y = - 2
Therefore the relation is not a function
What are the approximate solutions of 2x2 − 7x = 3, rounded to the nearest hundredth?
Answer:
-0.39 and 3.89
Step-by-step explanation:
By using the quadratic formula it will give you the answers of x= 7 + or - square root of 73 all over 4.
When you do the math of both of the equations it will give you the answers above
In a certain year the price of gasoline rose by 20% during January, fell by 20% during February, rose by 25% in March, and fell by x% in April. The price of gasoline at the end of April was the same as it had been at the beginning of January. Find the value of x.
Answer: The value of x is [tex]\frac{50}{3}[/tex]
Step-by-step explanation:
Let the original price of gasoline be y
Since we have given that
Price of gasoline rose by 20% during January fell by 20% during February rose by 25% in March and fell by x% in April.
So, According to question,
In January, Price became
[tex]\frac{100+20}{100}\times y=\frac{120}{100}\times y=\frac{6}{5}\times y=\frac{6y}{5}[/tex]
Similarly, In February, Price became
[tex]\frac{100-20}{100}\times \frac{6y}{5}=\frac{80}{100}\times \frac{6y}{5}=\frac{4}{5}\times \frac{6y}{5}=\frac{4}{5}\times \frac{6y}{5}=\frac{24y}{25}[/tex]
Similarly, in March, Price became,
[tex]\frac{100+25}{100}\times \frac{4\times 6y}{25}=\frac{125}{100}\times \frac{6\times 4y}{25}=\frac{5}{4}\times \frac{24y}{25}=\frac{5}{4}\times \frac{24y}{25}=\frac{6y}{5}[/tex]
similarly, in April , Price became,
[tex]\frac{100-x}{100}\times \frac{6y}{5}[/tex]
so, we have given that the price of gasoline at the end of April was the same as it had been at the beginning of January.
So, it becomes,
[tex]\frac{6y}{5}\times \frac{100-x}{100}=y\\\\6(100-x)=500\\\\600-6x=500\\\\600-500=6x\\\\100=6x\\\\x=\frac{100}{6}=\frac{50}{3}[/tex]
Hence, the value of x is [tex]\frac{50}{3}[/tex]
Answer:
x= 16 2/3
Step-by-step explanation:
Price will be p
The price in January increases by 20%, it will be 6p/5. The price in February decreased by 20%, it becomes 24p/25. The price in March rose by 25%, it will be 6y/5.
April: 6y/5 times 100-x/100 = p 6(100-x)=500 100=6x x= 16 2/3