The expression is: To find: The equivalent expression of the given expression by using the distributive property. Explanation: Distributive property: If are three real numbers, then We have, Using the distributive property, we get Therefore, the required equivalent expression is
The owner of Paradise Pets works hard to keep her store clean. It takes her 15 minutes to clean 2 hamster cages.
Complete the table.
Minutes 15 30
90
Cages cleaned 2
8
Answer:
Minutes 15 - Cages 2
Minutes 30 - Cages 4
Minutes 45 - Cages 6
Minutes 60 - Cages 8
Minutes 75 - Cages 10
Minutes 90 - Cages 12
Answer: hope this helps ♡
7.5 min = 1 cage (times 2)
15 min = 2 cages (times 2)
30 min = 4 cages (times 2)
45 min = 6 cages (times 2)
60 min = 8 cages (times 2)
75 min = 10 cages (times 2)
90 min = 12 cages
A pole that is 3.2m tall casts a shadow that is 1.14m long. At the same time, a nearby tower casts a shadow that is 39.75m long. How tall is the tower? Round your answer to the nearest meter.
Answer:
112 meters--------------------------------
The heights and shadows are proportional since they form similar triangles.
Set equal proportions and solve for the missing length:
H/h = S/s, where H and h represent heights, S and s - shadows.H/3.2 = 39.75/1.14H = 3.2*39.75/1.14H = 112 (rounded)Answer:
112 meters
Step-by-step explanation:
3.2/1.14 = x/39.75
3.2/1.14 = 2.81
2.81 * 39.75 = 111.57 = 112
Kyle is shopping for his favorite
cereal at the grocery store. The
9 ounce box costs $2.52 while the 12 ounce box costs $3.60. Which is the better deal? How much will he save per ounce?
For an example i’m going to use answer A as example BTW
9 oz.; 2 cents/ oz. The / between cents and oz. Means per ounce
Answer:
The nine ounce box is the better deal.
Step-by-step explanation:
Kyle will save 2 cents/oz.
Answer: 9oz pack is better. C.
Step-by-step explanation:
9 ounces=$2.52
3 ounces=$0.84
1 ounce=$0.28
12 ounces=$3.60
3 ounces=$1.20
1 ounces=$0.30
0.30-0.28=0.02
3 ounces cost more for the 12oz pack than the 9oz pack.
Can anyone help with this right answer please
Answer:
B) 4 units
Step-by-step explanation:
Since EF and QR are same, and EF is 4, then QR is 4 too.
A spinner with repeated colors numbered from 1 to 8 is shown. Sections 1 and 8 are purple. Sections 2 and 3 are yellow. Sections 4, 5, and 6 are blue. Section 7 is orange.
A spinner divided into eight equal colored sections, with one orange, two purple, two yellow, and three blue.
Which statement about probability is true?
The probability of landing on blue is greater than the probability of landing on purple.
The probability of landing on yellow is less than the probability of landing on orange.
The probability of landing on orange is equal to the probability of landing on yellow.
The probability of landing on purple is equal to the probability of landing on blue.
Answer:
The probablilty of landing on blue is greater than the probability of landing on purple!
This is because there are more blue colored sections that purple.
Step-by-step explanation:
Jake’s class sold chocolate bars to raise money for the school. He entered the number of chocolate bars sold in column A of his spreadsheet. He entered the function rule into the computer to calculate the entries in column B and C.
What is the function rule that Jake used to get the results from Column A to C?
Answer:
i think a to c is dividing by 4.5
Step-by-step explanation:
help me please and thank you
help would be so very much appreciated. (might give brainly)
Answer:3,052
Step-by-step explanation:
Volume of Sphere = [tex]\frac{4}{3} \pi r^{3}[/tex] =[tex]\frac{4}{3} \pi 9^{3}[/tex]
When Alex bought his new car
in 2006, it was worth $28,350.
In 2015, it was worth a third
of its original value. Find the
rate of change in the value of
the car from 2006 to 2015.
A) -$1,275/yr
B) -$1,500/yr
C) -$1,650/yr
D) -$1,800/yr
E) -$2,100/yr
Answer:
A) -$1,275/yr
Step-by-step explanation:
The value of the car in 2015 was a third of its original value in 2006, which means that the value of the car decreased by 2/3.
To find the rate of change, we can use the formula:
rate of change = (final value - initial value) / (time elapsed)
In this case, the initial value is $28,350, the final value is a third of that value, which is $28,350 * (2/3) = $18,900. The time elapsed is 2015 - 2006 = 9 years.
So the rate of change is:
rate of change = ($18,900 - $28,350) / 9 = -$9,450 / 9 = -$1,050/yr
Therefore, the rate of change in the value of the car from 2006 to 2015 is -$1,050/yr.
The correct option is A) -$1,275/yr
The rate of change in the value of the car from 2006 to 2015 is -$1,800/yr, the correct option is D
What is the average rate of change?The average Rate of Change of the function f(x) can be calculated as;
[tex]f(x) = \dfrac{f(b) - f(a)}{b-a}[/tex]
f(x) represents the function x
Given;
Its worth in 2006= $28,350
In 2015 it was worth a third of its original value
Now,
Car value in 2015= 1/3 x 28,350
=9450
Number of years from 2006 to 2015
=8
Rate of change in value per year= 9450/8
=1181
Therefore, the rate of change will be -$1,800/yr
Learn more about average rate;
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Jamal, an NFL running back, rushed for an average of 120 yards per game last season. This season, his average is 168 yards per game. What is the percent of increase in Jamal's average?____%
Answer:
40%
Step-by-step explanation:
168/120=1.4
1=original
.4=increase
.4---Percent =
.4x100
=40%
Answer: 40
Step-by-step explanation:
168 - 120 = 48
40% of 120 = 48
Therefore, a 40% increase is the correct answer.
Can i get help. Due tomorrow.
Answer:
5,13
Step-by-step explanation:
If you divide 109/8= you get 13
The initial value is 5
the rate of change is 13 each month
5 cards + 13 x 8 months=109 cards
One afternoon, Dillon and 3 friends visit the zoo. They split the cost of parking the car evenly. Then each person buys a ticket to enter the zoo. By the end of the afternoon, each person has also purchased 2 bottles of water.
• Let p represent the parking cost.
• Let t represent the ticket cost.
• Let w represent the cost of a bottle of water.
Use the dropdowns to complete the statements.
(A) One way to express the total cost is to find the cost per person for a ticket and water. Then multiply this expression by
Choose...
and add
the parking cost
.
(B) The expression for total cost described in part A is
Choose...
+
p
.
(C) Another way to express the total cost is to add the cost of
Choose...
tickets plus the cost of
Choose...
bottles of water plus
the parking cost
.
(D) The expression for total cost described in part C is
Choose...
.
13 ......................
Answer:
Step-by-step explanation:
A
The table shows the numbers of bags of different flavors of potato
chips on a store shelf. A customer will randomly select one bag of
potato chips from the shelf.
Potato Chips
Flavor:
Plain = 12
Jalapeño = 18
Ranch = 8
Cheese = 20
Which statement about the flavor of the potato chips chosen is best
supported by the information in the table?
F) The flavor is least likely to be plain.
G) The flavor is twice as likely to be jalapeño as ranch.
H) The flavor is equally likely to be plain, jalapeño, ranch, or cheese.
J) The flavor is more than twice as likely to be cheese as it is to be ranch.
Answer:
Step-by-step explanation:
we can start with process of elimanation.
f) wrong. this is because 12 is the second smallest number out of the four with ranch being the smallest with 8.
g) wrong. this is because 8x2=16, which means its not twice as likely it would end up. being more than twice as likely.
h) wrong. all of these numbers are different, so are smaller and bigger than others, so the rate of probability is going to be different for each chip type.
j) right. this is because if we do 8x2=16, that is still smaller than 20 so it is MORE than 2x as likely since 20 is a greater number than 16.
CORRECT ANSWER: J.
hope this helped!!
The statement which best supported is J) The flavor is more than twice as likely to be cheese as it is to be ranch.
What is Probability?Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
The value of probability will be always in the range from 0 to 1.
Total number of chips = 12 + 18 + 8 + 20 = 58
Probability of finding Plain chips = 12/58 = 0.2069
Probability of finding Jalapeno chips = 18/58 = 0.3103
Probability of finding Ranch chips = 8/58 = 0.1379
Probability of finding Cheese chips = 20/58 = 0.3448
The flavor is least likely to be Ranch, not plain.
Twice the probability of Ranch = 0.2759
Hence the correct option is The flavor is more than twice as likely to be cheese as it is to be ranch.
Learn more about probability here :
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Mr. Baxter has 250 students. Of the 250 students, 130 are girls. What is the ratio of the boys to the total number of students in Mr. Baxter's class
Answer:
It is 12boys:13girls
Step-by-step explanation:
The total is 250 out of which 130 are girls. So it is 250-130 which is 120boys. Now to find the ratio it is 120:130 which in its simplest form is 12 boys:13 girls.
Julia had a bag filled with gumballs. There were 1 lemon-lime, 2 watermelon, and 3 grape gumballs. What is the correct sample space for the gumballs in her bag?
Sample space = 1, 2, 3
Sample space = 1, 2, 3, 4, 5, 6
Sample space = lemon-lime, watermelon, grape
Sample space = lemon-lime, watermelon, watermelon, grape, grape, grape
Answer: D: Sample space = lemon-lime, watermelon, watermelon, grape, grape, grape
Step-by-step explanation:
What is the area of the shaded region? (picture)
Answer:
16-[tex]x^{2}[/tex]
Step-by-step explanation:
Take the area of the whole square (4x4=16) and subtract the area of the smaller square ([tex]x^{2}[/tex])
When given a set of cards laying face down that spell F, R, A, C, T, I, O, N, determine the probability of randomly drawing a vowel.
three sevenths
five sevenths
three eighths
five eighths
Answer: 3/8
Step-by-step explanation:
there are 8 letters in fraction and 3 of those are vowels
Answer:
Step-by-step explanation:3/8
Anyone able to help me with this problem?
Answer:
since the 2 trapezium's are congruent SD should be equal to KO which is 2
so the answer is a)2 units
Hope it helps :)
Answer:
a. 2 units.
Step-by-step explanation:
The answer is two units because the trapezium ABSD is equal to PLOK, meaing that SD and KO should also be equal. Meaning that SD equals 2 units.
why you must use the inverse operation to solve for a variable in an equation.
Answer: to understand the relation between the basic math operators + , − , × , ÷ so that solving an equation becomes easier and time saving.
Step-by-step explanation: Inverse operations are used to reverse the effect of one operation on the other. The purpose of inverse operations is to understand the relation between the basic math operators + , − , × , ÷ so that solving an equation becomes easier and time saving.
Answer:
because you have to to the same thing to both sides
ALEKS
screen
-
shot.
thanks.
happy friday the 13th
Step-by-step explanation:
#1: 51+24+15=90—NO
#2: 70+45+65=180—YES
#3: 34+42+58=134—NO
#4: 18+120+42=180—YES
estimate the sums and differences benchmark
5/11-1/10
Answer:
39/110 or 0.355
Step-by-step explanation:
subtract
5/11 - 1/10 = 5x10/11x10 - 1x11/10x11 = 50/110 - 11/110
50/110 - 11/110 = 50-11/110 = 39/110
PLease Help!!!!!!!!!!
Answer:
50%
16%
40%
-35%
40%
Step-by-step explanation:
The table below shows Katie's bank account balance at the end of the first three months of the year. If she deposits $180 in April and makes no withdrawals, find the rate of change from January to April.
A) $101/month
B) $75.75/month
C) -$19/month
D) $14.25/month
E) -$84/month
the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
to get the slope of any straight line, we simply need two points off of it, let's use those in the picture below.
[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{525})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{828}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{828}-\stackrel{y1}{525}}}{\underset{\textit{\large run}} {\underset{x_2}{4}-\underset{x_1}{1}}} \implies \cfrac{ \stackrel{\$}{303} }{ \underset{months}{3} } \implies \cfrac{\stackrel{\$}{101}}{\underset{months}{1}}\implies 101~\frac{\$}{month}[/tex]
consider the equation "-7=1/2(z+12)"
[tex]-7=\dfrac{1}{2} (z+12)[/tex]
Distribute:
[tex]-7=(\dfrac{1}{2} )(z)+(\dfrac{1}{2} )(12)[/tex]
[tex]\dfrac{1}{2} z+6=-7[/tex]
Subtract 6 from both sides:
[tex]\dfrac{1}{2} z+6-6=-7-6[/tex]
[tex]\dfrac{1}{2} z=-13[/tex]
Multiply both sides by 2:
[tex]2\times(\dfrac{1}{2} z)=2\times(-13)[/tex]
[tex]\fbox{z = -26}[/tex]
Answer:
-26
Step-by-step explanation:
1. distribute
1/2z+6=-7
-7-6=-13
1/2z=-13
-13 / 1/2 = -13 x 2/1 = -26
z = -26
double check:
1/2(-26+12)
1/2 (-14)
1/2 = -14 = -7 ✔️✔️
PLEASE HELP IM DOING MULTIPLE QUESTIONS ILL GIVE BRAINLIEST FOR ALL QUESTIONS TODAY
Answer:
[tex]s\geq 45[/tex]
Step-by-step explanation:
First, we need to find out how many spoons Lily actually needs.
420-159=420-160-1=269
Next, we need to find out how many packs of spoons Lily needs.
269/6=44.83333333…
Now we need to round this number down and add 1.
44+1=45
Finally, we need make an inequality. Remember, “at least” means greater than or equal to.
[tex]s\geq 45[/tex]
Julia keeps track of her driving so that she can take a tax deduction. Julia drove 120 miles last month, in comparison to 78 miles this month. By what percent has her monthly driving decreased?_____%
Answer:
Step-by-step explanation:
The percent decrease in Julia's monthly driving would be 35.9%. This is calculated by taking the difference between the two months (120 - 78 = 42) and dividing it by the initial amount (120) and then multiplying the result by 100. (42/120)*100 = 35.9%.
Her monthly driving decreased by 35%
Step-by-step explanation:
120m - 78m = 42miles 42/120 × 100 = 35 %Maria claims that any fraction located between 1/5 and 1/7 on a number line must have a denominator of 6.
Enter a fraction that shows Maria's claim is incorrect.
Step-by-step explanation:
I want to know about exponent and surds
Explanation:
Let's rewrite each given fraction with a common denominator of 5*7 = 35.
1/5 = (1/5)*(7/7) = 7/35
1/7 = (1/7)*(5/5) = 5/35
Then we can see that 6/35 is between 5/35 and 7/35, since 6 is between 5 and 7.
Put another way: 5/35 < 6/35 < 7/35 since 5 < 6 < 7
This then means 1/7 < 6/35 < 1/5
Therefore, Maria's claim is incorrect.
Sam rented a truck for one day. There was a base fee of $17.99, and there was an additional charge of 99 cents for each mile driven. Sam had to pay $162.53 when he returned the truck. For how many miles did he drive the truck?
HELP THIS IS DUE TMR
What is the measure of angle C?
A. 92°
B. 105°
C. 120°
D. 130°
True or False:
To find a unit price/unit rate, you need to divide the top number by the bottom number, so that your denominator is 1.
Answer: True
Step-by-step explanation:
The definition of a unit rate is per every one. In this case, the line of the fraction is the "per" we're talking about. Your answer should be the numerator because for a unit rate the bottom number is always 1.
Answer: This is True
