What is the relationship between 2.57×10^4 and 2.57×10^−1 ? Select from the drop-down menus to correctly complete the statement.
A)1000 B)Greater
10,000 Less than
100,000
1,000,000
Answer:
We have the numbers:
2.57×10^4 and 2.57×10^−1
The first thing we can see is that the first number exponent is 4, and the second number's exponent is -1, so the difference between is of 5.
If we calculate the quotient between the numbers we have:
(2.57×10^4)/( 2.57×10^−1) = (2.57/2.57)*(10^4/10^-1) = 1*10^(4 - (-1)) = 10^5
Then the first number is 10^5 times bigger than the second number, then the first number is 100,000 greater than the second one.
How to divide 2.07 by 0.9
Use the distributive property to expand the expression. 5(4r2 + 8s2) − (−3s + 5t)
Answer:
20r^2 + 40s^2 + 3s - 5t just took quiz
Step-by-step explanation:
1. Marco and Drew stacked boxes on a shelf. Marco lifted 9 boxes and Drew lifted 14 boxes. The boxes that Drew lifted each weighed 8 lb less than the boxes Marco lifted.
Let m represent the weight of the boxes that Marco lifted.
Which expression represents the total number of pounds Drew lifted?
A. 9(m+8)
B. 112m
C. m−8
D. 14(m−8)
2. Two stores sell the same refrigerator for the same original price. Store A advertises that the refrigerator is on sale for 15% off the original price. Store B advertises that it is reducing the refrigerator’s price by $150. When Stephanie compares the sale prices of the refrigerator in both stores, she concludes that the sale prices are equal.
Let p represent the refrigerator’s original price.
Which equation models this situation?
A. 0.15p=p−150
B. 0.15p=p+180
C. 0.85(p−150)=p
D. 0.85p=p−150
3. Two cars traveled equal distances in different amounts of time. Car A traveled the distance in 2 h, and Car B traveled the distance in 1.5 h. Car B traveled 15 mph faster than Car A.
How fast did Car B travel?
(The formula R⋅T=D , where R is the rate of speed, T is the time, and D is the distance can be used.)
Enter your answer for the box.
? mph
4. Louann and Carla received equal scores on a test made up of multiple choice questions and an essay. Louann got 14 multiple choice questions correct and received 24 points for her essay. Carla got 16 multiple choice questions correct and received 14 points for her essay.
How many points was each multiple choice question worth?
Enter your answer in the box.
? points
5. In May, Liam and Charlie had the same amount of money in their savings accounts. In June, Liam deposited $140 into his account. Charlie said he increased the money in his account by 5%. When they compared their balances, they found that they were still equal.
How much money did they both have in their accounts in May?
Enter your answer in the box.
$?
Question 1
14 (m−8)
Question 2
0.85p = p-150
Question 3
60 mph
Question 4
5 points
Question 5
2800
I got all of these answers from doing the same test, and getting all of the questions correct. You are in UTVA right?
Sandy is upgrading her internet service. Fast internet charges $60 for installation $50.45 per month. Quick internet has free installation but charges $57.95 per month write an equation that can be used to find the number of months for which the internet service would cost the same?
One tray holds eight sandwiches if there are 30 sandwiches in all, how many trays are needed?
Cari owns a horse farm and a horse trailer that can transport up to 8,000 pounds of livestock and tack. She travels with 5 horses whose combined weight is 6,240 pounds. Let t represent the average weight of tack per horse. Which of the following inequalities could be used to determine the weight of tack Cari can allow for each horse?
To determine the weight of tack Cari can allow for each horse, use the inequality 6,240 + 5t ≤ 8,000, where 't' is the average weight of tack per horse. Solve for 't' to find that the maximum average weight of tack per horse is 352 pounds or less.
Explanation:The inequality to determine the weight of tack per horse that Cari can allow would be based on the maximum weight the trailer can transport, which is 8,000 pounds, minus the combined weight of the horses. The combined weight of the horses is given as 6,240 pounds. Let t represent the average weight of tack per horse. Since Cari travels with 5 horses, the total weight of the tack for all horses would be 5t. The inequality would therefore be:
6,240 + 5t ≤ 8,000
To find the maximum average weight of tack per horse that Cari can allow, we should solve the inequality for t as follows:
5t ≤ 8,000 - 6,240
5t ≤ 1,760
t ≤ 1,760 / 5
t ≤ 352
So, the weight of tack per horse must be 352 pounds or less for Cari to safely transport the horses and the tack in the trailer.
The inequality that could be used to determine the weight of tack Cari can allow for each horse is: [tex]\[ 5t + 6,240 \leq 8,000 \][/tex]
Step 1
To determine the weight of tack Cari can allow for each horse, we can set up an inequality based on the total weight limit of the trailer. The total weight limit includes the weight of the horses and the weight of the tack.
Let [tex]\( t \)[/tex] represent the average weight of tack per horse.
The total weight of the horses and tack should not exceed the weight limit of the trailer, which is 8,000 pounds.
Step 2
The weight of the horses is given as 6,240 pounds.
Therefore, the weight of the tack can be represented as [tex]\( 5t \)[/tex] (5 horses each with an average weight of tack [tex]\( t \))[/tex].
Putting this all together, the inequality that represents this situation is:
[tex]\[ 5t + 6,240 \leq 8,000 \][/tex]
Complete correct question:
Cari owns a horse farm and a horse trailer that can transport up to 8,000 pounds of livestock and tack. She travels with 5 horses whose combined weight is 6,240 pounds. Let t represent the average weight of tack per horse. Which of the following inequalities could be used to determine the weight of tack Cari can allow for each horse?
6240+t≤ 8000
8000≥ 6240t
6240+5t≤ 8000
8000+6240≤ 5t
8000-6240≥ 5t
Point Z is equidistant from the vertices of ΔTUV.
Which must be true?
TA=TB
AZ=BZ
BTZ=BUZ
TZA= TZB
Consider right triangles BTZ and BUZ.
ZB = ZB (Common)
ZT = ZU (Given)
Therefore, ΔBTZ ≅ ΔBUZ (By RHS theorem)
Hence, by CPCTC,
∠BTZ = ∠BUZ
Answer:
(C)
Step-by-step explanation:
It is given that Point Z is equidistant from the vertices of ΔTUV, therefore ZT=ZU=ZV.
Now, from ΔBTZ and ΔBUZ, we have
ZT=ZU (Given)
BZ=ZB (common)
therefore, by RHS rule of congruency,
ΔBTZ≅ΔBUZ
Thus, by corresponding parts of congruent triangles, we have
∠BTZ=∠BUZ
Thus, option C is correct.
Also, it is not necessary that TA=TB and AZ=BZ because there is no information given regarding these equalities.
Last week, Chen bought 812 gallons of gas at $2.30 per gallon. This week, he bought 4310 gallons of gas at $2.70 per gallon.
What was his total cost?
The total cost for the gas that was bought by Chen is $13504.60.
How to calculate the cost?Chen bought 812 gallons of gas at $2.30 per gallon. The cost for the gas will be:
= $2.30 × 812
= $1867.60
This week, he bought 4310 gallons of gas at $2.70 per gallon. The cost will be:
= $2.70 × 4310
= $11637
The total cost will be:
= $1867.60 + $11637
= $13504.60
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Heidi stops at three water stations during the running race. She drinks 0.25 liters of water at the first stop, 0.3 liters at the second stop, and 0.37 liters at the third stop. How much water does she consume throughout the race?
THE BEST ANSWER GETS BRAINLIEST
Jose made some pancakes. For every 6 cups of flour, he added 7 cups of milk. The ratio of flour to milk in Jose's pancakes is____.
A rectangle is dialated using a scale factor of 6. The image is then dilated using a scale factor of one thirds. What scale factor could you use to dilate the original rectangle to get the final rectangle? Explain
Answer:
If this rectangle is dilated using a scale factor of One-half through point B, what is the result?
Point B is the bottom left corner of rectangle X.
Step-by-step explanation:
5,253 divided bye 101
In performing the division of 5,253 by 101, the result comes out to be 52 with a remainder of 1.
Explanation:The student's question is asking for the result of dividing 5,253 by 101. To perform this division, you can use long division method.
Here's how you do it:
Write 5253 and 101 in a division bracket, with 5253 inside and 101 outside. To start, determine how many times 101 goes into 5253. This gives us 52 times.Multiply 101 by 52, which gives 5252. Subtract this from 5253 to get the remainder, which is 1.As we reached a remainder of 1, the division ends here and the final answer comes out to be 52 with a remainder of 1.This implies that 5,253 divided by 101 equals 52 with a remainder of 1.
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The perimeter of Square A is 24 linear units. The area of Square B is 4 times the area of Square A. What is the area of Square B? What is the perimeter of Square B?show your work
Answer:
area of Square B: 144 quadratic units
perimeter of Square B: 48 linear units
Step-by-step explanation:
The perimeter of a square is
perimeter = 4*L
where L is the length of each square side. For square A:
24 = 4*L
L = 24/4
L = 6 linear units
The area of a square is
area = L^2
For square A:
area = 6^2 = 36 quadratic units
The area of Square B is 4 times the area of Square A. So
area of Square B = 4*area of Square A
area of Square B = 4*36
area of Square B = 144 quadratic units
And the length of the sides of the square B can be computed as
area = L^2
L = sqrt(area)
L = sqrt(144)
L = 12 linear units
Therefore, the perimeter of square B is
perimeter = 4*L
perimeter = 4*12
perimeter = 48 linear units
What is missing for the following quantity to be true? 2x*5a*7 = 5a*2x*__
A. 5a
B. 2x
C. 7
D. 14
Thanks guys!
both sides have 2x & 5a, so both sides need 7
answer is C. 7
what does the measure of B Equal?
What is 6² in expanded form?
A. 36
B. 12
C. 2 × 2 × 2 × 2 × 2 × 2
D. 6 × 6
Is it D I'm not sure?
Jordan has 5.48 milliliters of liquid in one test tube and 9.63 milliliters in another. Luke's test tube has 17.24 milliliters of liquid.
How much more liquid is in Luke's test tube than the liquid in Jordan's two test tubes combined?
2.13 mL
4.15 mL
7.61 mL
15.11 mL
Which of the following masses is the smallest? 400 milligrams 55 grams .9 centigrams .65 kilogram
What is the unit rate for 501.9 mi in 21 h? Enter your answer, as a decimal, in the box
The required unit rate is given as 23.9 mi per h.
Given that,
To determine the unit rate of the given 501.9 mi in 21 h,
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Unit rate is given as,
Rate = 501.9/21 = 23.9 mi per h
Thus, the required unit rate is given as 23.9 mi per h.
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Vivian bought 6 bottles of cooking oil. She gave the cashier $40 and expected $y change. (a) express the cost of 1 bottle of cooking oil in terms of y. (b) if y=10, find the cost of 1 bottle of cooking oil. (c) if y=1, find the cost of 1 bottle of cooking oil.
Answer:
Part (a) The required equation is [tex]y=40-6x[/tex].
Part (b) If y=10, the cost of 1 bottle of cooking oil is $5.
Part (c) If y=1, the cost of 1 bottle of cooking oil is $6.5.
Step-by-step explanation:
Consider the provided information.
Let the cost of each bottle of cooking oil is $x.
Vivian bought 6 bottles of cooking oil.
Thus the cost of 6 bottles of cooking oil is 6x.
She gave the cashier $40 and expected $y change.
This can be written as:
[tex]y+6x=40[/tex]
Part (a) express the cost of 1 bottle of cooking oil in terms of y.
[tex]y+6x=40[/tex]
Subtract both sides by 6x.
[tex]y=40-6x[/tex]
The required equation is [tex]y=40-6x[/tex].
Part (b) if y=10, find the cost of 1 bottle of cooking oil.
Substitute the respective values in the above equation.
[tex]10=40-6x[/tex]
[tex]-30=-6x[/tex]
[tex]x=5[/tex]
If y=10, the cost of 1 bottle of cooking oil is $5.
Part (c) if y=1, find the cost of 1 bottle of cooking oil.
Substitute the respective values in the above equation.
[tex]1=40-6x[/tex]
[tex]-39=-6x[/tex]
[tex]x=6.5[/tex]
If y=1, the cost of 1 bottle of cooking oil is $6.5.
What is the equation of the line shown in this graph?
Drag and drop the expressions to write the equation of the line in slope-intercept form.
y = __ + ___
choices : 4x , 2x , -x , -2x , 2 , 4 , -4 , -2
The equation of line is y = -1/2 x + 5/2 or x+ 2y = 5.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
The points from the Graph are (1, 2) and ( 4, -4).
So, the slope is
= (4-1)/(-4-2)
= 3/(-6)
= -1/2
and, using the slope intercept form
(y- 2)= m (x- 1)
y-2 = -1/2 ( x-1)
y-2 = -1/2x + 1/2
y= -1/2 x + 1/2 + 2
y = -1/2 x + 5/2
2y = -x + 5
x+ 2y = 5
Hence, the equation of line is y = -1/2 x + 5/2 or x+ 2y = 5.
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The "ACTUAL" answer is y = -2x + 4
what is 1.75t-4.5=7.75
Jeff bought a refrigerator for $1,300 he made a 10% down payment and finance the rest at 6% for one year how much interest did he pay?
A store sells 3 video tapes for $4.99 find the unit rate in dollars per videotape round to the nearest cent
The unit rate of video tape is $1.66.
What is division?One of the fundamental mathematical operations is division, which involves breaking a bigger number into smaller groups with the same number of components.
Repetitive subtraction is the process of division. It operates in the opposite direction of multiplication.
Given cost of 3 video tapes = $4.99
to find the cost of 1 tape,
we can calculate by using division method
cost of 1 tape = 4.99/3
cost of 1 tape = 1.66333
cost of 1 tape = $1.66
Hence the cost is $1.66.
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which properties are illustrated by these equations?
1/2 times 3/3 =3/6 2/3 times 3/2 =1
Help its due tomorrow!!!
Madvi was playing a card game with her friends. Each time she played Madvi Lost 13 points. If Madvi played 5 rounds, how many points did she lose overall?
Bo paid bills with 1/2 of his paycheck and 1/5 of the reminder in savings. The rest of his paycheck he divided equally among the college accounts of his 3 kids. What fraction of his paycheck went into each child’s account?
Which Function rule matches the graph below?
a. f(x) = x
b. f(x) = x-2
c. f(x) = x+2
d. f(x) = 2x
Answer:
Step-by-step explanation:
This is a ratio brain teaser}} There are 4 suns and 6 moons. Write the simplest form that compares the numbers
GOOD LUCK!
The simplest form that compares the numbers 4 and 6 is 2:3.
Explanation:To write the simplest form of a ratio, we need to find the greatest common divisor (GCD) of the given numbers and divide both the numerator and denominator by it. In this case, the GCD of 4 and 6 is 2, so we divide both numbers by 2 to get the simplest form of the ratio. Therefore, the simplest form that compares the numbers 4 and 6 is 2:3.
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