Question 8 (1 point) What is the value of the expression 5(a + b)-3(b + c) if a = 4, b 3, and c 2? A. 20 B. 18 C. 14 D. 10 A B Oc
Answers
20
Explanation:
Substitute the given values:
A= 4
B= 3
C= 2
5(a+b)-3(b+c)
5(4+3)-3(3+2)
Add the numbers:
5(7)-3(5)
5•7 = 35 and 3•5= 15
35-15 =20
If a = 4, b = 3, and c = 2, the value of the expression 5(a + b)-3(b + c) is 20.
What is meant by expression?In mathematics, an expression is a sentence that contains at least two numbers or variables and at least one math operation. Addition, subtraction, multiplication, or division are all examples of math operations. An expression, also known as an algebraic expression, is a mathematical statement made up of numbers, variables, and an arithmetic operation between them. For example, 4m + 5 is an expression in which the terms 4m and 5 are separated by the arithmetic sign + and m is the variable of the given expression.Given,
5 (4 + 3) - 3 (3 + 2)
Follow the PEMDAS order of operations
Calculate within parentheses (4 + 3) : 7
=5 × 7 - 3 (3 + 2)
Calculate within parentheses (3 + 2) : 5
= 5 × 7 - 3 × 5
Multiply and divide (left to right) 5 × 7 : 35
=35-3 × 5
Multiply and divide (left to right) 3 × 5 : 15
=35-15
Add and subtract (left to right) 35 - 15 : 20
=20
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Related Questions
What is an
equation of the line that passes through the points (-6,5) and (6, 7)?
Answers
Answer:
[tex]y = \frac{1}{6} x + 6[/tex]
Step-by-step explanation:
The equation of a line can be written in the form of y=mx+c, where m is the gradient and c is the y-intercept. This form is known as the slope-intercept form.
Use the gradient formula below to find the value of m:
[tex]gradient = \frac{y1 - y2}{x1 - x2} [/tex]
*(x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate.
[tex]m = \frac{7 - 5}{6 - ( - 6)} \\ m = \frac{2}{12} \\ m = \frac{1}{6} [/tex]
Substitute the value of m into the equation:
y= ⅙x +c
To find the value of c, substitute a pair of coordinates.
When x= 6, y= 7,
[tex]7 = \frac{1}{6} (6) + c \\ 7 = 1 + c \\ c = 7 - 1 \\ c = 6[/tex]
Thus, the equation of the line is y= ⅙x +6.
A sphere is placed inside a cube that has a side length of s. A table representing the maximum possible volume of the sphere, V(s), is shown. Which function represents the maximum possible volume of the sphere? V(s) = 6πs3 V(s) = 6πs3 – 5πs2
Answers
Answer:
A
Step-by-step explanation:
Answer: A
Step-by-step explanation:
Edge
y=-x-4
y=x
solve system of equations algebraically
Answers
Answer:
y=-2 x=-2
Step-by-step explanation:
y=-x-4
y=x
you can plug y in for x in the first equation by using substitution
y=-y-4
and then you solve for y
2y=-4
y=-2
so y equals -2. Since y=x, x also equals -2. Therefore
y=-2 x=-2
Mr. Bell earns a yearly salary of $34,567. Mr. Lee earns $22,999 per year. How much more does Mr. Bell earn
per year?
Answers
Answer:
34,567-22,999=11,568
How many times does 2/3 go into 7 1/3
Answers
Answer:
11
Step-by-step explanation:
7 1/3 ÷ 2/3 = 11
(please give brainliest)
Answer: 1/11
Explanation:
KCF
(keep, change, flip)
How to Rewrite 8 + 36 as a product of their GCF and the sum of two factors
Answers
Answer:
4 (2 + 9)
Step-by-step explanation:
Given expression:
8 + 36
The greatest common factor is the highest number that divides a number:
8 and 36 ;
Factors of 8 : 1,2,4, 8
36 : 1, 2, 3, 4, 9, 18, 36
The highest common factor is 4;
8 + 36 = 4 (2 + 9)
Leila pumped 6 gallons of water out of her pool each minute for 24 minutes what was the total change in the amount of water in her pool answer in gallons
Answers
Answer:
The answer is 144.
Step-by-step explanation:
The question said 6 gallons of water comes out every minute. So, if you multiply 6x24 you get the answer of 144.
Find the perimeter. Simplify your answer.
6-4
b
b
6-4
Answers
Answer:
6-4 because if you meausure it by the sides
A ship anchored in a port has a ladder which hangs over the side. The length of the ladder is 200cm, the distance between each rung in 20cm and the bottom rung touches the water. The tide rises at a rate of 10cm an hour. When will the water reach the fifth rung?
Answers
Bakugou here:
Answer:
The tide raises both the water and the boat so the water will never reach the fifth rung.
Step-by-step explanation:
Brainlyest??!!
Check my answers plz <3\
Answers
Answer:
all three are correct
Step-by-step explanation:
6 1/7 as an improper fraction
Answers
If the numerator is equal to or greater than the denominator then the fraction will be an improper fraction thus 6 1/7 as 43/7 can show the fraction is improper.
What is a fraction?In such a fraction, the value that appears above the horizontal line is referred to as the numerator.
The fraction is the division of the two numbers but the division is not wholly complete.
A fraction x/y has two terms x is called a numerator and y is the denominator.
An improper fraction is a fraction when x ≥ y.
Therefore, 6 1/7 = 6 + 1/7
⇒ (42 + 1)/7 = 43/7
Since 43 > 7 so it will be an improper fraction.
Hence "If the numerator is equal to or greater than the denominator then the fraction will be an improper fraction thus 6 1/7 as 43/7 can show the fraction is improper".
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Please help! What is the slope of the line graphed on the coordinate plane?
Answers
Answer:
The slope is 3/4
Step-by-step explanation:
You can Y2-Y1/X2-X1 to find the answer to this question
Since the points are (-2,3) and (2,6) it will be..
6-3/2+2 ** the 2 becomes a plus in the denominator because negative and negative is positive
3/4 is the slope
An angle measures 90º more than the measure of its supplementary angle. What is the measure of each angle?
Answers
Answer:
theyre both 90 degrees because supplementary angles always add up to 180
Joseph’s lunch at a restaurant costs $13.00, without tax. He leaves the waiter a tip of 17% of the cost of the lunch, without tax. What is the total cost of the lunch, including the tip without tax? *
Answers
Answer:
17% of 13 is 2.21
13 + 2.21 = 15.21
Step-by-step explanation:
Joseph's lunch costs = $13 without taxes
He leaves tip for the waiter = 17% of cost of the lunch
= 17% of $13
= 13 ×
= ( 13 × 0.17)
= $2.21
Total cost of lunch + tip = 13 + 2.21
= $15.21
You are running a fuel economy study. One of the cars you find is blue. It can travel 38 1/2 miles on 1 1/4 of gasoline. Another car is red. It can travel 21 3/5 on 4/5 of gasoline. What is the unit rate for miles per gallon for each car? Which car could travel the greater distance on 1 gallon of gasoline?
Answers
Answer:
Blue car: 30.8 miles per galon
Red car: 27 miles per galon
Blue car can travel longer distances on one galon!
Step-by-step explanation:
Blue car:
38 1/2=77/2=38.5 miles
1 1/4=5/4=1.25 gasoline
38.5/1.25=30.8miles per galon
Red car:
21 3/5=108/5=21.6 miles
4/5=0.8 gasoline
21.6/0.8=27 miles per galon
Solve for b: 4b + 8/ -2 = 10
Answers
Answer:
The answer is b= 7/2
Step-by-step explanation:
hope this helps
Answer:
Step-by-step explanation:
4b-4+4=10+4
4b=14
4b/4 =14/4
B=7/2
Boat travel 27 miles in two hours how many miles travel in 1/2 hours
Answers
Answer:
6.75
Step-by-step explanation:
Matt runs in the park every day at the average rate of c meters per minute.
b:
If Matt runs triple his regular speed for 20 minutes, what distance would he cover?
Answers
Answer: 60c
Step-by-step explanation: 3c times 20. This is the right answer I hope it helps <3
The conversion rates between kilograms and pounds are: 1 k g ≈ 2.2 l b s 1 l b ≈ 0.454 k g A. How many kilograms is a backpack that weighs 6 pounds? 2.724 B. How many pounds is a cat that weighs 11 kilograms?
Answers
Answer:
[tex]6\ lb = 2.724\ kg[/tex]
[tex]11\ kg = 24.2\ lb[/tex]
Step-by-step explanation:
Given
[tex]1\ kg = 2.2\ lb[/tex]
[tex]1\ lb = 0.454\ kg[/tex]
Required
- Convert 6 lb to kg
- Convert 11kg to lb
To solve for (a), we make use of the second conversion unit:
[tex]1\ lb = 0.454\ kg[/tex]
Multiply both sides by 6
[tex]6 * 1\ lb = 0.454\ kg * 6[/tex]
[tex]6\ lb = 2.724\ kg[/tex]
Hence, a 6lb backpack weighs 2.724kg
Solving (b): 11 kg to lb
Here, we make use of the first conversion unit
[tex]1\ kg = 2.2\ lb[/tex]
Multiply both sides by 11
[tex]11 * 1\ kg = 2.2\ lb * 11[/tex]
[tex]11\ kg = 24.2\ lb[/tex]
Hence, the cat weighs 24.2lb
Vicki earns $30 for washing 6 cars. If Vicky charges the same rate, how many cars. must she wash to earn $35? (Label your answer for full credit)
Answers
Answer:
7
Step-by-step explanation:
if she got 30 from 6 cars then 30/6 is 5. $5 per car times 7 is $35
height= 7.5 m
radius = 14m
Find the volume
It’s a cylinder btw
Answers
A park is showing a movie on the lawn. The base of the screen is 6 feet off the ground and the screen is 22 feet high (see figure).
Answers
Answer:
A. 61.82°;
15.64°
B. 33.37°
Step-by-step explanation:
A.
✍️Angle of elevation from 15 ft:
A right triangle is formed. Apply trigonometric ratios formula to find the angle of elevation from 15 ft.
Thus,
Length of the side Opposite to reference angle = 22 + 6 = 28 ft
Adjacent length = 15 ft
Thus, we would have:
[tex] tan(\theta) = \frac{opp}{adjacent} = \frac{28}{15} [/tex]
[tex] tan(\theta) = 1.8667 [/tex]
[tex] \theta = tan^{-1}(1.8667) [/tex]
[tex] \theta = 61.82 [/tex] (2 d.p)
✍️Angle of elevation from 100 ft:
Thus,
Length of the side Opposite to reference angle = 22 + 6 = 28 ft
Adjacent length = 100 ft
Thus, we would have:
[tex] tan(\theta) = \frac{opp}{adjacent} = \frac{28}{100} [/tex]
[tex] tan(\theta) = 0.28 [/tex]
[tex] \theta = tan^{-1}(0.28) [/tex]
[tex] \theta = 15.64 [/tex] (2 d.p)
B.
✍️Distance you'd be from the screen if you lie on the ground and make an angle of elevation of 40° to the top of the screen:
Adjacent length = your distance from the screen = x
Opposite length = 22 + 6 = 28 ft
Angle of elevation = 40°
Tge trigonometric ratios formula to use would be:
[tex] tan(\theta) = \frac{opp}{adjacent} [/tex]
Plug in the values
[tex] tan(40) = \frac{28}{x} [/tex]
Multiply both sides by x
[tex] x*tan(40) = 28 [/tex]
Divide both sides by tan(40)
[tex] x = \frac{28}{tan(40)} [/tex]
[tex] x = 33.37 [/tex] (2 d.p)
Asappppp , pls help me :((
Answers
Answer:
Not a function
Step-by-step explanation:
This is not a function because every x value has more than one y value. Think about it this way. If you have a person and you are telling them to go to three different places at once, they can't. That means this isn't a function. Hope this helps!
Answer: That is not a function
Hope it helped
Step-by-step explanation:
Use the explicit formulas below to find a 1 ,ab nd a 10 for each formula . Show your a . A n =n^ 3 +4 b . A n =-5n+3
Answers
Answer:
Step-by-step explanation:
The question is not properly written.
Use the explicit formulas below to find a1 ,and a10 for each formula . Show your work a . An =n^3 +4 b . An =-5n+3
a) If An = n^3 + 4
To get a1, we will substitute n = 1 into the equation as shown;
a1 = 1^3 + 4
a1 = 1+4
a1 = 5
If An = -5n+3
A1 = -5(1)+3
A1 = -5+3
A1 = -2
b) If An = n^3 + 4
To get a10, we will substitute n = 10 into the equation as shown;
a10 = 10^3 + 4
a10 = 1000+4
a10 = 1004
If An = -5n+3
A10 = -5(10)+3
A10 = -50+3
A10 = -47
what is 111 × 111 ÷ 14
Answers
But I guess it rounds to 880.7 or 881
Answer:
880.071428571
Step-by-step explanation:
You could use a calculator btw but its ok happy to help :D
How do I find x in this triangle?
Answers
Answer:
B=5
Step-by-step explanation:
a2+b2=c2
12squared+b2=13squared
144+b2=169 Subtract by 144 on both sides
b2=25 Find square root of 25
b=5
Please help!!!!!!!!!!!!!!!!
Answers
Answer:
I don't know much about linear regression, but I would say the answer is 15.25. The x-value number closest to 75 is 77, and the corresponding y value is 16.5. Since there is a big difference between the other answers and 16.5, you can estimate and conclude that 15.25 is probably the answer. Sorry if this doesn't help much since I wasn't able to explain the correct way they asked you to do the problem. :/
4. Triangle HEF is the image of triangle FGH after a 180 degree rotation about point K. Select all statements that must be true.
a. Triangle FGJ is congruent to triangle FEH.
b. Triangle EFH is congruent to triangle GFH.
c. Angle KHE is congruent to angle KFG.
d.Angle GHK is congruent to angle KHE.
e. Segment EH is congruent to segment FG.
f. Segment GH is congruent to segment EF.
Answers
Answer: C, E, F
Step-by-step explanation: dude tbh idek but ik that it’s the right answer
The true statements are:
Angle KHE is congruent to angle KFG.Segment EH is congruent to segment FGSegment GH is congruent to segment EF.Given:
Triangle HEF is the image of triangle FGH after a 180-degree rotation about point KAnd Six statementsTo find:
The true statements out of given sic statements.
Solution:
ΔHEF is the image of ΔFGH after a 180°rotation about point K.
This simply implies that ΔFGH is congruent to ΔHEF. As no dilation is done while rotation of the ΔFGH.
In congruent ΔFGH and ΔHEF
HF = HF (common)GH = EFFG = EH∠FGH=∠HEF∠GFH=∠EHFCan also be written as:
⇒ ∠KFG=∠KHE
∠GHF=∠EFHCan also be written as:
⇒ ∠GHK=∠EFK
So, from the given statements the true statements are:
Angle KHE is congruent to angle KFG.Segment EH is congruent to segment FGSegment GH is congruent to segment EF.Learn more about the congruency of triangles here:
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what goes into 125 3 times
Answers
Answer:
41r6
Step-by-step explanation:
you dived 125 by 3
Answer:
Loading Answer...
Step-by-step explanation:
Loading Explanation...
-4 2/3 times (-1 1/2)
SHOW YOUR WORK TO GET BRAINLIEST~~~~!!~
Answers
Answer:
-4 2/3 times (-1 1/2)
Step-by-step explanation:
14.6 repeating