Answer:
x = number of nickels = 127
y = number of dimes = 156
z = number of quarters = 78
Step-by-step explanation:
Let
x = number of nickels
y = number of dimes
z = number of quarters
Total worth of the coins = $41.45
Total number of coins = 361
x + y + z = 361 (1)
dime = $0.1,
nickel = $0.05
quarter = $0.25
0.05x + 0.1y + 0.25z = 41.45 (2)
twice as many dimes as quarters.
y = 2z
Substitute y = 2z into (1) and (2)
x + 2z + z = 361
0.05x + 0.1(2z) + 0.25z = 41.45
x + 3z = 361
0.05x + 0.2z + 0.25z = 41.45
x + 3z = 361 (3)
0.05x + 0.45z = 41.45 (4)
Multiply (4) by 20
x + 3z = 361 (3)
x + 9z = 829 (5)
Subtract (3) from (5)
9z - 3z = 829 - 361
6z = 468
Divide both sides by 6
z = 468 / 6
= 78
z= 78
Recall,
y = 2z
= 2(78)
= 156
y = 156
Substitute the value of y and z into
x + y + z = 361
x + 156 + 78 = 361
x + 234 = 361
x = 361 - 234
= 127
x= 127
x = number of nickels = 127
y = number of dimes = 156
z = number of quarters = 78
Work out the area of this shape. ? cm2
4 cm
9 cm
6 cm
12 cm
Help!!!
Answer:
84 cm^2
Step-by-step explanation:
Area of triangle + area of rectangle
Area of triangle = 1/2*l*b
= 1/2*8*3= 12 cm^2
Area of rectangle = l*b
= 12*6 = 72 cm^2
Total area= 72+12
= 84 cm^2
NEED HELP with these two pages please help me (30 points)
Answer:
1. B
2. E
3. D
4. B
5. C
6. B
7. E
8. D
9. D
10.D
11. E
State if the two triangles are congruent. If they are, state how you know.
Answer:
A
Step-by-step explanation:
All sizes are equal and the all corresponding angles are also equal
Which of the following is an arithmetic sequence?
Answer:
the third one is the correct answer
Suppose y varies directly with x. Write a direct variation equation that relates x and y.
y=-10 when x=2
Answer: Suppose y varies directly with x. Write a direct variation equation that relates x and y.
Step-by-step explanation:
Answer is y = -5x
The equation for y varies directly with x is, y = - 5x.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, y varies directly with x.
Therefore,
y ∝ x.
y = kx, where k is the proportionality constant.
At y = - 10 when x = 2.
- 10 = 2k.
k = - 5.
So, y = - 5x.
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Evaluate each expression
Answer:
See below.
Step-by-step explanation:
Question 1
a = -2 and x = -6
| a + x | / 2 - | a - x | / 2
| -2 + -6 | / 2 - | -2 + 6 | / 2
| -8 | / 2 - | 4 | / 2
8/2 - 4/2
= 4/2
= 2
Question 2
a = -5, b = 4, c = 1, d = -3
| a - b | - | c + d |
| -5 - 4 | - | 1 - 3 |
| -9 | - | -2 |
= 9 - 2
= 7
Help with this problem please
Answer:
1 yard = 3 feet
3 × 4 = 12 feet of fabric
12 - 4 = 8
8 - 6 = 2
they will have 2 feet of fabric left over
What is SCIENTIFIC NOTATION?
A. A short way to write really long numbers
B. A long way to write really short numbers
C. I don't know...
D. None of the above
The answer to this is A.
100 - 4x = 20 + 6x; x=
Answer:
8 = x
Step-by-step explanation:
100 - 4x = 20 + 6x
100 = 20 + 10x
80 = 10x
8 = x
If 360 birr is divided among three people in the ratio 3:4:5,find the share of each person?
plsss i will make brainlist if its correct answer
Answer:
the first gets =90birr
the second gets =120birr
the third gets =150birr
90+120+150=360birr
I hope you got your answer.
FIRST ANSWER GETS CROWNED BRAINLIEST!!!
Andrea and Felix collected 48 signatures for a petition. Felix collected one-third as many signatures as Andrea did. How many signatures did Andrea collect?
Please answer with the formula :)
Answer:
16 signatures
Step-by-step explanation:
48/3 = 16
16 x 2 = 32
One-third of 48 is 16. So if Felix collected one-third and Andrea collected two-thirds, then Felix had 16 signatures and Andrea had 32 signatures.
Answer:
16
Step-by-step explanation:
48/3 = 16
16 x 2 = 32
1/3 of 48 is 16. if Felix collected 1/3 and Andrea collected 2/3, then Felix got 16 signatures
Z What is the value of x? 45° ni (2x - 5)
Which of the following inequalities is represented on the graph?
Answer:
a number line or something like this
On the real number line the origin is assigned the number ___.
Answer:
0
Step-by-step explanation:
The points on a number line are called coordinates. The zero point is called the origin. The numbers to the right of the origin are positive numbers; the numbers to the left of the origin are negative numbers.
Answer:
0
Step-by-step explanation:
Can someone please help me figure out what’s 18 3/4 as a decimal
Answer:
18.75
Step-by-step explanation:
[tex]\\ \rm\Rrightarrow 18\dfrac{3}{4}[/tex]
Break mix fraction[tex]\\ \rm\Rrightarrow \dfrac{75}{4}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{75(25)}{100}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{1875}{100}[/tex]
[tex]\\ \rm\Rrightarrow 18.75[/tex]
Help I’m clueless if you can help please do.
Answer:
x is 10 and y is 20
Step-by-step explanation:
d + 3n = 1 can someone help?
Answer: n = (1 - d) / 3
Step-by-step explanation: We are given with the equation d + 3n = 1 and asked to solve for n in the problem. the first step is to apply subtraction property by subtracting d to each side of the equation. Hence 3 n = 1 - d. next, we use division property by dividing the whole equation by 3.
What is 4(-5z+2)+(-6)
Answer:
-20z + 2
Step-by-step explanation:
4(-5z + 2) + (-6) =
= -20z + 8 - 6
= -20z + 2
Ms. Spencer is packing orders for her bath supply business. One customer ordered 8 bath fizzies and 4 jars of sugar scrub. Each bath fizzy weighs 5 ounces, and each jar of sugar scrub weighs 1.5 pounds. How many pounds does this customer's entire order weigh?
what is the area of this polygon 5in 6in 7in 8in
A salad dressing mixture of vinegar and oil is supposed to contain
V
ounces of vinegar for every cup of oil.
Which coordinate is represented on the graph?
Answer: where is the graph
Step-by-step explanation:
i cant help if there is no graph
The approximate total surface area of Earth is 5.1 × 10^8 km2. All the salt water on Earth has an approximate surface area of 352,000,000 km2, and all the freshwater on Earth has an approximate surface area of 9 × 10^6 km2. How much of Earth's surface is covered by water, including both salt and fresh water? Write your answer in scientific notation.Single line text.
Answer:
3.61x10^8km^2Step-by-step explanation:
In this problem, we are expected to solve for the total area covered by water, by addition of scientific notation
Given data
Area covered by salt water= 352,000,000 km2
Area covered by fresh water= 9 × 10^6 km2=9,000,000
Earth's surface is covered by water= 352,000,000 +9,000,000
Earth's surface is covered by water= 361000000
In scientific notation it is 3.61x10^8km^2
If 1400 = 100% what is 40% of it
Answer:
560 is 40% of 1,400
Step-by-step explanation:
40 x 1400/ 100 = 560
560/1400 = 40%
Which ordered pair fits the function h(x) = x2 + 2? a (-3, -7) b (-2, -2) c (2, 4) d (3, 11)
Answer:??????
Step-by-step explanation:
Answer:
d (3,11)
Step-by-step explanation:
25 points
Tyler has a container that is the shape of a cube. He uses 64 cubes with
side lengths of 1 in to completely fill the container. What is the edge?
Answer:
x*x=64
x= 8
Step-by-step explanation:
this means that the area is 64 in more than 2
What is the value of g(3) ?
Answer:3
Step-by-step explanation:
A function from a set X to a set Y assigns to each element of X exactly one element of Y. The value of g(3) is 3
What is a function?A function from a set X to a set Y assigns to each element of X exactly one element of Y.
We need to find the value of g(3).
From the question, we have
g(x)= x-1, -2≤x<-1
g(x)= 2x+3, -1≤x<3
g(x)= 6-x, x≥3
The value 3 is in the function g(x)=6-x
When x is 3
g(3)=6-3
Subtract 3 from 6.
g(3)=3
Therefore value of function g(3) is 3.
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Which numbers can be added to 4.89 × 10–16 without having to rewrite one of them first? Check all that apply.
Answer:
A,B,E
Step-by-step explanation:
What is the surface area of the solid?
A. 180 square centimeters
B. 232 square centimeters
C. 236 square centimeters
D. 212 square centimeters
E PREVIOUS
Answer:
D
Step-by-step explanation:
4x5+4×12+12×6×2=212
A scale model of a volcano is 4 feet tall if the actual height of the volcano is 12,276 feet what is the scale of the model
Answer:
255.75ft/inch
Step-by-step explanation:
s (scale) = 12,276/4
s = 3069 ft
s = 3069/12
s = 255.75
answer.)s=255.75
explanation:
•divide 12,276' by 4'
•3069'/1'
• 1'=12"
• 3069' divided by 12"
•255.75
Find the slope
A) -6
B) 6
C) -1/6
D) 1/6