Answer: A. Unit Rate
Which expression is equivalent? (35 pts)
−3(5x + 8) − 7(5x + 3)
A) 50x + 45
B) 50x − 45
C) −50x + 45
D) −50x − 45
Answer:
-50x-45
Step-by-step explanation:
The solution of the given expression is -50x - 45. The correct option is D.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given expression is −3(5x + 8) − 7(5x + 3). The given expression will be solved as below,
E = −3(5x + 8) − 7(5x + 3)
E = -15x - 24 - 35x -21
E = -50x - 45
Therefore, the solution of the given expression is -50x - 45. The correct option is D.
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4/5(2x+5)−4=1
x = 1 1/4
x = 1 2/5
x = 5/8
x = 3 1/5
Ling uses 21 bananas to make 7 fruit smoothies. What is the unit rate that Ling uses for bananas per each smoothie? What is the unit rate? Explain how to use equivalent fractions to find the answer
Answer:
The unit rate that ling uses for bananas per each smoothie is (3/1) bananas per smoothie
Step-by-step explanation:
Ling uses 21 bananas to make 7 fruit smoothies. Total of bananas B = 21. Total of smoothies S =7.
The unit rate U is the relationships B divided by S.
U = B/S
U = 21 bananas / 7 smoothies
U = 21/7 Bananas per smoothies.
We can use the equivalent fractions to find the unit rate. 21 can be expressed as 7*3. 7 can be expressed as 7*1. We can simplify the number 7 in numerator and denominator.
U = (7*3)/(7*1)
U = 3/1.
Finally, the unit rate is 3/1 bananas per smoothie.
Heather was asked to graph 3x - y = -4 by using slope and y-intercept. Her graph is shown.
Which choice supports the graph that she has drawn?
A) The slope is positive 3 and the y-intercept is (0,4).
B) The slope is negative 3 and the y-intercept is (0,4).
C) The slope is positive 3 and the y-intercept is (0,-4).
D) The slope is negative 3 and the y-intercept is (0,-4).
The correct choice that supports the graph that Heather has drawn is:
The slope is positive 3 and the y-intercept is (0, 4).
Option A is the correct answer.
We have,
To determine which choice supports the graph that Heather has drawn for the equation 3x - y = -4, we need to consider the slope and y-intercept.
The equation is in the form y = mx + b, where m represents the slope and b represents the y-intercept.
Comparing the given equation to the standard form, we can rearrange it as y = 3x + 4.
From this, we can determine that the slope is positive 3 and the y-intercept is (0, 4).
Therefore,
The correct choice that supports the graph that Heather has drawn is:
The slope is positive 3 and the y-intercept is (0, 4).
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(01.02 MC)Maya is showing her work in simplifying (5.2 − 4.5) − 5.5 + 4.8. Identify any error in her work or reasoning. Step 1: (5.2 − 4.5) − 5.5 + 4.8 Step 2: 5.2 + (− 4.5 − 5.5) + 4.8 (identity property) Step 3: 5.2 − 10 + 4.8 Step 4: 5.2 + 4.8 − 10 (commutative property) Step 5: 10 − 10 = 0
She wrote identity instead of commutative in Step 2.
She wrote commutative instead of distributive in Step 4.
She wrote identity instead of associative in Step 2.
She wrote commutative instead of associative in Step 4.
In her work, Maya misidentified the associative property as the identity property in step 2 and the commutative property in step 4.
Explanation:The question pertains to the simplification of the given expression: (5.2 − 4.5) − 5.5 + 4.8. The error lies in Maya's interpretation of the mathematical properties used in the simplification process. In Step 2, she has referred to the rearrangement of minus signs as the result of the 'identity property'. However, this should be the 'associative property' which allows the grouping of numbers to be changed. In Step 4, she refers to her re-ordering of the addition and subtraction as the 'commutative property'. However, it should be 'associative property' as it allows changing of grouping but the order within groups must be maintained.
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Which measure of central tendency best describes this situation: the ages of students in an eighth-grade class?
a) Mean; there likely are no outliers.
b) Mode; the data are not numerical.
c) Median; there likely are outliers.
d) Median; there likely are no outliers.
Answer:
Step-by-step explanation:
Its B=median
the lifetime of a smartphone battery while playing video is described by a normal model. if 95% of batteries last between 8.5 and 11.5 hours, what are the mean and standard deviation of the distribution of battery lifetime while playing videos?
Jennifer's grandmother buys carrots at the farm stand. She and her 3 grandchildren equally share the carrots. The total weigh of the carrots she buys is 28 kg. How many kilograms of carrots will Jennifer get ?
Answer:
7 kilograms of carrots.
Step-by-step explanation:
Jennifer's grandmother buys carrots at the farm stand.
The total weight of the carrots she buys = 28 kilograms
She and her 3 grandchildren equally shares the carrots.
The number of persons among carrots were distributed = 4 persons
To calculate how many kg of carrot each person will get = [tex]\frac{\text{total weight of carrots}}{\text{total number of persons}}[/tex]
They each will get = [tex]\frac{28}{4}[/tex]
= 7 kilograms.
Jennifer will get 7 kilograms of carrots.
A tractor tire makes one complete rotation every 14.3 seconds. How long does it take the tire to complete 4.25 rotations? Enter your answer in the box.
Answer:
60.775 seconds
Step-by-step explanation:
Hello, you can solve this using a simple rule of three
Step 1
let
A tractor tire makes one complete rotation every 14.3 seconds,it is
1 rotation ⇒ 14.3 seconds
How long does it take the tire to complete 4.25 rotations?,it is
4.25 rotations ⇒ x seconds
Step 2
if
1 rotation ⇒ 14.3 seconds
4.25 rotations ⇒ x seconds
the relation is
[tex]\frac{1}{14.3}=\frac{4.25}{x}\\ isolate \ x \\\frac{x}{14.3}=4.25\\x=4.25*14.3\\x=60.775\ seconds[/tex]
Have a great day
Jodi went 54 miles on 3.5 gallons of gas, and she wants to know how far she can go on 9 gallons of gas. Which proportion would be useful to solve the problem?
A)
9
3
=
54
x
B)
9
54
=
x
3
C)
54
3.5
=
x
9
D)
54
9
=
3.5
x
The volume of a rectangular prism can be computed by using the formula V=lwh. Which equation is solved for w? A. w=v/lh B. w=lh/v C. w=vl/h D. w=vlh
The equation w = V/lh can be used to find the width of the rectangular prism option (A) is correct.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
It is given that:
The volume of a rectangular prism can be computed by using the formula
V=lwh.
A rectangular prism can be defined as a six-faced shape, a type of hexahedron in geometry.
It is a three-dimensional shape. It is also called a cuboid.
Solve for w:
w = V/lh
Thus, the equation w = V/lh can be used to find the width of the rectangular prism option (A) is correct.
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Final answer:
The equation solved for w is B. w = lh/v
Explanation:
1. Understand the Formula:
The formula for the volume (V) of a rectangular prism is V = lwh, where l is the length, w is the width, and h is the height.2. Isolate w:
To solve for w, isolate w on one side of the equation.Divide both sides of the formula by lh: V/lh = w3. Determine the Correct Equation:
Compare the isolated w with the provided answer choices.The correct equation solved for w is w = lh/vTherefore, the correct answer will be B. w=lh/v
isaiah wrote this problem in his notebook. Using the Vocabulary boxes,label the parts of the division problem. then, using the vocabulary, explain how isaiah can check whether his quotient is correct. quotient, divisor, dividend
Answer:
9 is divisor, 648 is dividend and 72 is the quotient.
Isaiah can check his work by multiplying divisor(9) and quotient (648). If quotient is correct the product will be equal to dividend.
Step-by-step explanation:
Consider the provided information.
A number by which another number is to be divided is called divisor.
A number which is divided by another number is called dividend.
A result obtained by dividing one number by another is called quotient.
Here 9 is the number which divide 648.
Therefore, 9 is divisor.
648 is the number which is divided by 9.
Therefore, 648 is dividend.
The result obtained by dividing 648 by 9 is 72.
Therefore, 72 is the quotient.
Isaiah can check his work by multiplying divisor(9) and quotient (648). If quotient is correct the product will be equal to dividend.
Balu and Pumba shared ½ of a cake. Balu got to eat twice as much cake as Pumba. What fraction of the whole cake did Balu eat?
Answer:
Balu ate [tex]\frac{1}{3}[/tex]fraction of the whole cake
Step-by-step explanation:
Let x be the amount of cake eaten by Pumba
Balu got to eat twice as much cake as Pumba.
Balu eat cake = 2x
Balu and Pumba shared ½ of a cake.
So, [tex]2x+x=\frac{1}{2}[/tex]
[tex]3x=\frac{1}{2}[/tex]
[tex]x=\frac{1}{6}[/tex]
So, Pumba's share = [tex]\frac{1}{6}[/tex]
Balu's share = 2x = [tex]\frac{2}{6}=\frac{1}{3}[/tex]
Hence Balu ate [tex]\frac{1}{3}[/tex]fraction of the whole cake
Your picture of your family crest is 4.5 inches wide. You need a reduced copy for the front page of the family newsletter. The copy must fit in a space 1.8 inches wide. Which scale factor should you use on the copy machine to adjust the size of your pictures of the crest?
A) 2/5
B) 5/2
C) 1/2
D) 1/5
Answer:
The answer is : A 2/5
(I just finished taking the test)
The scale factor would be 2/5 to reduce the width from 4.5 inches to 1.8 inches.
What is a scale factor?A scale factor is defined as the ratio of the scale of a given original object to the scale of a new object that is its representation but of a different size (bigger or smaller). For example, we can enlarge a rectangle with sides of 2 cm and 4 cm by multiplying each side by a number, say 2.
Given that your picture of your family crest is 4.5 inches wide. You need a reduced copy for the front page of the family newsletter. The copy must fit in a space 1.8 inches wide.
The scale factor will be calculated as,
Scale factor = Reduced size / Original size
Scale factor = 1.8 / 4.5
Scale factor = 0.4 or 2/5
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An 8-ounce can of tomatoes costs $1.14.A 12-ounce can costs $1.75.Which can of tomatoes cost the least per ounce
Answer:
8-ounce can tomatoes costs the least per ounce.
Step-by-step explanation:
Cost of an 8-ounce can of tomatoes = $1.14
cost per ounce of tomatoes = [tex]\frac{1.14}{8}[/tex]
= $0.1425 ≈ $0.14 per ounce
Cost of an 12-ounce can of tomatoes = $1.75
cost per ounce of tomatoes = [tex]\frac{1.75}{12}[/tex]
= $0.1458 ≈ $0.15 per ounce
Therefore, 8-ounce can of tomatoes cost the least per ounce.
Simplify the expression: 5+12 divided by 2x2
Which expression shows the result of completely factoring and simplifying 3x+9x ? (A) 12x
(B) 3x(3x+9x)
(C) −6x
(D) 9(x+1)
A sales representative earns a 2.5% commission on sales. Find the commission earned when the total sales are $80,700.
To find the commission earned by a sales representative, multiply the total sales by the commission rate of 2.5%. For total sales of $80,700, the commission earned would be $2,017.50.
Explanation:To find the commission earned by a sales representative, we need to multiply the total sales by the commission rate.
In this case, the total sales are $80,700 and the commission rate is 2.5%.
So, the commission earned can be calculated as:
$80,700 x 0.025 = $2,017.50
Therefore, the sales representative will earn a commission of $2,017.50.
19.18,23,23,31,32,16 all of the questions use these numbers except for the last one
in which stem does most of the data fall?
A 1
B 2
C 3 or
D 4
next question
steams leaves
.
1 | 1 1 2 3 4 5
. 2 | 2 3 4 4 7
. 3 | 2 5 7 9
what is the median?
A 24
B 28
C 22
D 23
What is the quotient of 6,559 and 21 ?
How many 1/2 miles are in 12 miles corresponding division expression
Jeanette and Leslie are trying to solve this problem: A camp counselor has a list of 134 campers who signed up for art class. The counselor can place 8 students in each class. How many classes does the counselor need to have?
*Please Show Work*
Which souvenirs cost less than $2.25 per item?
Check all that apply.
tote bags: 25 for $49.00
picture frames: 15 for $32.25
water bottles: 12 for $27.60
mugs: 8 for $15.92
T-shirts: 10 for $25.00
Answer:
tote bags, picture frames, and mugs
Step-by-step explanation:
Which number is equal to 10 to the 3rd power
A film set designer is using white and colored tiles in a pattern to create paths of different lengths. If x is the length of the path in feet, the number of colored tiles needed to make it is calculated using the rule
(4x2y3)(3x2y2)
where y represents the number of white tiles.
Which simplified expression represents the number of colored tiles used for a path of length x feet?
7x4y5
7x4y6
12x4y5
12x4y6
The simplified algebraic expression for the number of colored tiles used for a path(4x^2y^3)(3x^2y^2), is 12x^4y^5. Hence the correct option is 3,
Given the algebraic rule for determining the number of colored tiles ((4x2y3)(3x2y2)), we simplify this expression by multiplying the coefficients and then by adding the exponents for x and y (since they are the same base).
Multiply the coefficients: 4 x 3 = 12
Add the exponents for x: 2 + 2 = 4 (since x2 x x2 = x2+2)
Add the exponents for y: 3 + 2 = 5 (since y3 x y2 = y3+2)
how to find the answer to this
5g=230 HOW DO I FIND THIS PLZ HELP NOW
Jacob, Kylie, and Manuel each bought a sandwich and drink. The total bill to $21, and each drink cost $2. Of each sandwich cost the same amount, what is the cost of one sandwich?
PLEASE HELP!
Sarah paints a straight line. The line is 13 1/2 ft long. She wants to divide the line into sections that are each 1/8 ft long. How many sections will the line be divided into?
In one weekend,a theatre sells 74,877 tickets to a new movie. Write the values for each of the 7s in 74,877.
Answer:
Given number,
74, 877
Since, the place value chart,
Ones = 1,
Tens = 10,
Hundred = 100,
Thousand = 1000,
Ten thousand = 10,000
Hundred thousands = 100,000
Millions = 1,000,000
Hence, by the above chart,
For the number,
74,877
Place value of 7 at ones place = 7,
Place value of 7 at tens place = 70,
Place value of 7 at ten thousand place = 700,000
Can someone help me on this