Answer:
7a+6b+1
...............
Answer:
7a+6b+1
Step-by-step explanation:
2a+3b+2+3a+5b-1+2a-2b=7a+6b+1
Combine like termsUse this fact:(+)×(+)=+ (-)×(-)=+
(+)×(-)=- (-)×(+)=-
Approximately what is the sale price of a skateboard listed at $159.69 with a 25% discount?
Answer:
159.69*0.75 = 119.76
Step-by-step explanation:
Cause we have a 25% discount, that means that the skatebord costs 75% of its original price.
The 75% of the original price is the 75/100 part (0.75)
The volume of a cuboid is 176cm
The length is 11 cm and the width is 20mm
Work out the height of the cuboid in cm.
Answer:
.08cm or 0.08cm
Step-by-step explanation:
First of all, we can see that 20mm is in millimeters, not centimeters.
If we convert the ones in centimeters to millimeters, it will result in decimals, which I want to avoid, but you could also do it that way.
There are 10 mm in 1 cm, so I multiply all of the values in cm by 10.
So now, we have that the volume is 1760mm, the length is 110mm, and the width is 20mm.
The formula for the volume of a cuboid is: [tex]w*l*h = volume[/tex]
We have the width, length, and volume, so let's plug it in.
[tex]20*110*h=1760[/tex]
To solve for h:
1. Multiply 20 and 100
[tex]2200*h=1760[/tex]
2. Divide both sides by 2200
[tex]h = 1760/2200[/tex]
3. Divide right side
h = 0.8
Keep in mind that this is in millimeters. In centimeters, it would be .08
A grocer wants to mix two kinds of coffee. One kind sells for $0.85 per pound, and the other sells for $2.70
per pound. He wants to mix a total of 21 pounds and sell it for $0.95 per pound. How many pounds of
each kind should he use in the new mix? (Round off the answers to the nearest hundredth.)
Answer:
x = $0.85 per pound = 19.85 pounds
y = $2.70 per pound = 1.14 pounds
Step-by-step explanation:
Let
x = $0.85 per pound
y = $2.70 per pound
x + y = 21 (1)
0.85x + 2.70y = 19.95 (2)
From (1)
x = 21 - y
Substitute x = 21 - y into (2)
0.85x + 2.70y = 19.95 (2)
0.85(21 - y) + 2.70y = 19.95
17.85 - 0.85y + 2.70y = 19.95
- 0.85y + 2.70y = 19.95 - 17.85
1.85y = 2.1
y = 2.1 / 1.85
y = 1.14
Substitute y = 1.14 into (2)
0.85x + 2.70y = 19.95
0.85x + 2.70(1.14) = 19.95
0.85x + 3.078 = 19.95
0.85x = 19.95 - 3.078
0.85x = 16.872
x = 16.872 / 0.85
x = 19.85
x = $0.85 per pound = 19.85 pounds
y = $2.70 per pound = 1.14 pounds
Find the area of a circle with diameter 16 yd.
Use the value 3.14 for it, and do not round your answer.
Be sure to include the correct unit in your answer.
Answer:
200.96
Step-by-step explanation:
pi*r^2
The data below are the ages and systolic blood pressures (measured in millimeters of mercury) of 9 randomly selected adults. Age 38 41 45 48 51 53 57 61 65 Pressure 116 120 123 131 142 145 148 150 152 What is the best predicted value for blood pressure of an individual who is 64 years old
Answer:
156
Step-by-step explanation:
Given the data:
Age (X) :
38
41
45
48
51
53
57
61
65
Pressure(Y) :
116
120
123
131
142
145
148
150
152
From the data, we could obtain a regression equation to mod the data Given using a linear regression calculator :
The regression equation obtained is :
y = 1.48769X + 60.46103
Using the model, the predicted blood pressure for a person aged 64 will be :
y = 1.48769(64) + 60.46103
y = 95.21216 + 60.46103
y = 155.67319
y = 156 (nearest whole number)
Three students, Matthew, Thompson and Amos shared #15000 in the ratio of 5:2:x respectively. If Matthew's share is 7500, calculate the value of x.
Answer:
The value of x is 3.
Step-by-step explanation:
Matthew earned 7500 of 15000, that is, 1/2.
Rate of 5:2:x, with number 5 corresponding to Matthew, mean that his fraction of the earnings is given by:
[tex]\frac{5}{5 + 2 + x} = \frac{5}{7 + x}[/tex]
Since he earned 1/2 of the total:
We have that 5/(7+x) = 1/2. So we use this to find x.
[tex]\frac{5}{7 + x} = \frac{1}{2}[/tex]
Applying cross multiplication:
[tex]7 + x = 10[/tex]
[tex]x = 10 - 7[/tex]
[tex]x = 3[/tex]
The value of x is 3.
Which list of numbers is ordered from from greatest to least?
Answer:
A
Step-by-step explanation:
The perimeter of a triangle is 29. One side of a triangle is 5 less than twice the side of the shortest length. The third side is 6 more than the shortest side. What are the lengths of the triangle?
Answer:
7, 9, 13Step-by-step explanation:
Let the sides of the triangle be a, b and c.
We have:
P = a + b + c = 29a = 2b - 5c = b + 6Substitute values and solve for b:
2b - 5 + b + b + 6 = 294b + 1 = 294b = 28b = 7Find a and c:
a = 2*7 - 5 = 14 - 5 = 9c = 7 + 6 = 13The sides are: 7, 9, 13
Find the area
10 yd
12 yd
13 yd
Answer:
138
Step-by-step explanation:
a+b/2xh
Which of the following statements is not true?
A) -3 divided by -8 is a positive number
B) - 2/8 = 3/-8
C) -1/2(5+3/8)= (-1/2)(5) + (-1/2)(3/8)
D) (-4)(-2/5)(0.5) is a positive number
Answer:
The right answer would be C!
need you to check if answer is correct
The coordinates of D are
Answer:
The coordinates of D are -1,0
Step-by-step explanation:
I believe
Can you hellllllllllllllpppppppppp
Answer: ( 1.5, -3)
Step-by-step explanation:
You need to just look at the x and y axis and you see that the x axis is at 1.5 and the y axis is at -3.
Evaluate each expression if x = 3.
a. 2^x
b. x^2
c. 1^x
d. x^1
e. (1/2)^x
Answer:
a) 2³ = 2×2×2×=8
b) 3²=3×3=9
c) 1³=1×1×1=1
d) 3¹=3
e) 1/2³=1/2×1/2×1/2=1/8
LOOK AT IMAGES I MARK BRAINLIEST
Answer:
B
Step-by-step explanation:
A block of wood has the shape of a triangular prism. The bases
are right triangles. Find its surface area.
Answer:
287.25 sq in
Step-by-step explanation:
PLS HELP WITH NUMBER 6
Answer: The answer to this question is A
What is c? This is pythgreomthryrom a=8 b=6 c=?
Answer:
4
Step-by-step explanation:
what is the measure of angle 2
Answer:
45
Step-by-step explanation:
180 - 135 = 45
The measure of angle 2 is 45.
GEOMETRY
please Help
Answer:
A right circular cone
Step-by-step explanation:
Which side lengths form a right triangle?
A solid figure is composed of a cube and a pyramid as shown. What is the volume
Answer:
288 in^3
Step-by-step explanation:
1) find the volume of the cube
V = side^3 = 6^3 = 216 in^3
2) find the base surface of the pyramid:
base surface = side^2 = 6^2 = 36 in^2
3) find the height of the pyramid:
height of the solid - height of the cube = 12 - 6 = 6 in
4) find the volume of the pyramid:
V = (base area x height) / 3 = (36 x 6)/3 = 72 in^3
5) add up the two volumes
V = 216 + 72 = 288 in^3
Given the definitions of f(x) and g(x) below, find the value of g(f(-1)).
f(x) = -4x – 7
g(x) = x² + 7x – 2
Answer:
-14
Step-by-step explanation:
[tex]f(x) = -4x – 7 \\ plug \: x = - 1 \\ f( - 1) = - 4( - 1) - 7 = 4 - 7 = - 3 \\g(x) = x² + 7x – 2 \\g(f( - 1)) = {( - 3)}^{2} + 7( - 3) - 2 \\ = 9 - 21 - 2 \\= - 14[/tex]
Jessica's bedroom is 17 feet long and 9 1/2 feet wide. What is the area of the bedroom?
What is the surface area of the right cone below?
Answer:
176π [tex]units^{2}[/tex]
Step-by-step explanation:
SA = B + LA where B is the area of the base (circle) and LA is the lateral area
LA = radius of the circle times the slant height
= 8π(14) = 112π
B = [tex]8^{2} \pi[/tex] = 64π
SA = 112π + 64π = 176π
The surface area of the right cone is 176π square units.
How to calculate the surface area of a composite figure?
Surface area are derived for some standard shapes like circle, triangle, parallelogram, rectangle, trapezoid, cone etc.
When some shape comes which isn't standard figure, then we find its area by slicing it (virtually, like by drawing lines) in standard shapes. Then we calculate those composing shapes' area and sum them all.
Thus, we have:
[tex]\text{Area of composite figure} = \sum (\text{Area of composing figures})[/tex]
That ∑ sign shows "sum"
We are given that;
The surface area of a right cone is given by the formula:
Surface area=πr(r+l)
where r is the radius of the base and l is the slant height of the cone12.
In this case, r=8 and l=14, so we can plug these values into the formula and simplify:
Surface area=π×8(8+14)
Surface area=π×8×22
Surface area=176π
Therefore, the surface area will be 176π square units.
Learn more about area of a composite figure here:
https://brainly.com/question/10254615
#SPJ7
I need help like NOW
Answer:
386
Step-by-step explanation:
:)
Help me with 6 and 7
Answer:
6 b 7 d give me brainlest
Step-by-step explanation:
Guys please last one ok
Answer:
last one, 4th
i really hope it helps.
DE is a midsegment of ABC . Find the value of x.
Answer:
if from a to e is 6 un, then x maybe 6 un as well
Step-by-step explanation:
[tex]\boxed {\boxed {prove : \: 3 \: is \: greater \: than \: 5 }} [/tex]
3 has more letters than 5. Hence 3 is greater than 5