Thomas collects dimes and quarters in his change jar. If he has 7 more dimes than quarters, and the total amount of money in the jar is $27.30, find the number of each type of coin in the jar.
Answer:
76 quarters and 83 dimes
Step-by-step explanation:
From the information given, you can write the following equations considering that a quarter represents $0.25 and a dime $0.10:
y=x+7 (1)
0.25x+0.10y=27.30 (2)
x is the number of quarters
y is the number of dimes
Now, you can replace (1) in (2):
0.25x+0.10(x+7)=27.30
0.25x+0.10x+0.7=27.30
0.35x=27.30-0.7
0.35x=26.6
x=26.6/0.35
x=76
Then, you can replace the value of x in (1) to find the value of y:
y=76+7
y=83
According to this, the answer is that there are 76 quarters and 83 dimes in the jar.
There are 76 quarters and 83 dimes in the jar.
GivenThomas collects dimes and quarters in his change jar.
If he has 7 more dimes than quarters, and the total amount of money in the jar is $27.30.
Let, x be the number of the dimes.
And y be the number of quarters.
If he has 7 more dimes than quarters,
[tex]\rm y=x+7[/tex]
The total amount of money in the jar is $27.30.
[tex]\rm 0.25x+0.10y=27.30[/tex]
Substitute the value of y in equation 2
[tex]\rm 0.25x+0.10y=27.30\\\\ \rm 0.25x+0.10(x+7) =27.30\\\\ 0.25x + 0.10x + 0.7= 27.30\\\\0.35x=27.30-0.7\\\\0.35x=26.6\\\\x = \dfrac{26.6}{0.35}\\\\\rm x =76[/tex]
Substitute the value of x in equation 1
[tex]\rm y = x+7\\\\y =76+7\\\\y=83[/tex]
Hence, there are 76 quarters and 83 dimes in the jar.
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Kim drove 627 miles in 9.5 hours. What is
her average speed in miles per hour?
5,956 miles per hour
B 660 miles per hour
66 miles per hour
60 miles per hour
Help please
Answer:
Step-by-step explanation:
66 mile per hour .
Whoever answers this question will be marked the brainiest
====================================================
Explanation:
Angle PQT = 35 degrees is given. This inscribed angle subtends or cuts off minor arc PT. This is the shortest distance along the circle from P to T. Any other inscribed angle that cuts off this same arc will also be the same measure. Note how angle PRT is such an inscribed angle, so,
angle PRT = 35 degrees
which we'll use later.
----------------
Focus on triangle ROS. Interior angle O is 180-82 = 98 degrees due to it being supplementary to the 82 degree angle shown.
Triangle ROS is isosceles with OR = OS being the two equal radii. The opposite base angles R and S are congruent angles. Call them x for now
(angle O) + (angle R) + (angle S) = 180
98+x+x = 180
2x+98 = 180
2x = 180-98
2x = 82
x = 82/2
x = 41
For triangle ROS, interior angle R is 41 degrees. Put another way,
angle ORS = 41 degrees
we'll use it below along with angle PRT
------------------------
angle PRS = (angle PRT) + (angle ORS)
angle PRS = (35) + (41)
angle PRS = 76 degrees
what is -13.5 = 2.7x
X= -5
-13.5 ÷ 2.7= -5
-5=x
Answer:
x=5
Step-by-step explanation:
-9=3x+6 what is the value of x?
Answer:
-5
Step-by-step explanation:
3x + 6 = -9
3x = -15
x = -5
Answer:
[tex] \boxed{ \bold { \huge{ \boxed{ \sf{x = - 5}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ - 9 = 3x + 6}[/tex]
Swap the sides of the equation
[tex] \longrightarrow{ \sf{3x + 6 = - 9}}[/tex]
Move 6 to right hand side and change its sign
[tex] \longrightarrow{ \sf{3x = - 9 - 6}}[/tex]
The negative integers are always added but possess the negative ( - ) sign
[tex] \longrightarrow{ \sf{3x = - 15}}[/tex]
Divide both sides by 3
[tex] \longrightarrow{ \sf{ \frac{3x}{3} = \frac{ - 15}{3} }}[/tex]
Calculate
[tex] \longrightarrow{ \sf{x = - 5}}[/tex]
Hope I helped!
Best regards! :D
Two of the angles in a triangle measure 52 and 22 what must be the measure of the third angle
2/4+5/4= 6/12+14/12=
Answer:
7/4=5/3 is the answer
Find the value of X. pls help me
Answer:
x=7
Step-by-step explanation:
As seen from the higher two numbers, there is a distinct ratio between the shorter side and the longer side. To find the ratio we simply get the given two without the x and we get 8:12 which simplifies to 2:3 or 1: 1.5
This means in order to find 3x-6, we need to multiply 10 by 1.5 which means:
3x-6=15
3x=21
x=7
Hope this helped!
If g(y) = 5y, then solve g(-10)
Answer:
-50
Step-by-step explanation:
g(y) = 5y
Let y= -10
g(-10) = 5*-10
= -50
2x2 + 11x + 5
Factor the trinomial
Answer:
9+11x
Step-by-step explanation:
To find the x-intercept of a linear equation, let = 0 and solve for the other variable.
Answer:
let y = 0 and solve for the other variable, because any point on x-axis has y-coordinate = 0
0.2(x + 1) + 0.5x = –0.3(x – 4)
-1/2 (7z+4)+1/5(5z-15). Solve equation.
Answer:
-2.5(z+2)
Step-by-step explanation:
i need help i will give the brainleness thing to whoever can answer
Answer:
A=30cm, B=39cm
Step-by-step explanation:
They are an enlargement. Therefore, the sides are larger by the same proportion, otherwise, it wouldn't be an enlargement. Therefore, the bottom side of the big one is 3 times that of the small one. Therefore, the other sides are also 3 times, making A = 30cm and B = 39cm.
Answer:
A
12cm to 36cm is mulitiply by 3, so that means that you mutiply each of the other sides by 3 to get your answer
Solve the equation.
-0.3x = - 1.5
Please assist me with this
Answer:
The answer is option AStep-by-step explanation:
To find the value of x when y = 24, we must first find the relationship between them
[tex]y \: \: \alpha \: \: \frac{k}{ \sqrt{x} } [/tex]where k is the constant of proportionality
when
x = 16
y = 2
Substitute the values into the above formula and solve for k
That's
[tex]2 = \frac{k}{ \sqrt{16} } \\ 2 = \frac{k}{4} [/tex]Cross multiply we have the answer as
k = 8
So the formula for the variation is
[tex]y = \frac{8}{ \sqrt{x} } [/tex]Now when y = 24
We have
[tex]24 = \frac{8}{ \sqrt{x} } \\ 24 \sqrt{x} = 8 \\ \sqrt{x} = \frac{8}{24} \\ \sqrt{x} = \frac{1}{3} [/tex]Square both sides
[tex]( { \sqrt{x} })^{2} = ( { \frac{1}{3} })^{2} [/tex]We have the final answer as
[tex]x = \frac{1}{9} [/tex]Hope this helps you
Given that n is an even Integer, chaz conjectured that n is divisible by 4 which number is a counter example to Chaz’s conjecture
By definition, a number is divisible by 4 if the last two digits of the number are divisible by 4.
A number can be even while not being divisible by 4.
For example, the number 218 is even, but is not divisible by 4 since 18 is not divisible by 4.
Hope this helps.
頑張って!
Answer:
Step-by-step explanation:
2 and 6 are the first 2 counterexamples. Any number that has only 1 two as its prime factors cannot be divisible by 4.
2 * 5 * 7 = 70 which is not divisible by 4.
If the number has more than one 2 as a prime factor, it is divisible by 4.
I can't get my brain to work today! plz help! I am desperate!
Answer:
n > 3
Step-by-step explanation:
n + 8 > 11
-8 -8
------------------
n > 3
Hope this helps!
The area of a square is 8 square meters. Which of these
closest to the length of one side of the square?
F 2 meters
G 2.8 meters
4 meters
H 3.5 meters
Answer:
G.
Step-by-step explanation:
Length = Square root of Square area
= √8 (-√8 is rejected as length is positive)
We know that √4 < √8 < √9 because 4 < 8 < 9.
=> 2 < √8 < 3.
The only answer that is in this range is G.
CAN SOMEONE PLEASE HELP!!!!!!!
Answer:
-11
Step-by-step explanation:
Add all the negative numbers.
Hope this helps!
Answer:
-11
Step-by-step explanation:
-3 + -1 = -4
-4 + -5 = -9
-9 + -2 = -11
§(*￣▽￣*)§
I tried and good luck xx
How many weeks are in 977 days? Round your answer to the nearest tenth ( to one decimal point)
Enter the terms and the coefficients of the expression. −80 + 7p − 6z
Answer:
Step-by-step explanation:
Terms Coefficient
7p 7
-6z -6
-80 constant term
If skin cancers is related to UV light that people with high exposed to UV light we have higher chance of getting skin cancer what is the In dependable Independent variable
Answer:
Exposure to the UV light is the dependable independent variable.
Step-by-step explanation:
An independent variable does not depend on another variable, but can rather have another variable depending on it. In this case, the chances of getting skin cancer depends on if a person is exposed to a high dose of UV light. The chances of getting skin cancer is the dependent variable, while the exposure to the UV light is the independent dependable variable.
Answer:
Dependable variable
Step-by-step explanation:
m = 4 and x-intercept of -2 in slope- intercept form.
Answer:
y = 4x + 8
Step-by-step explanation:
Slope-intercept form:
y = mx + bm = 4
y = 4x + bx-intercept = -2, it means x = -2, y = 0
(-2, 0)Using this point we get the value of b
0 = 4*(-2) + b ⇒ b = 8The form now is:
y = 4x + 813. One-fourth of a number is the same as the square of -3
-. Six square-based pyramids fit exactly onto the six faces of a
cube of side 4 cm. If the volume of the object formed is
256 cm', find the height of each of the pyramids.
Answer:
60
Step-by-step explanation:
Which set of numbers is correctly ordered from least to greatest? [tex]A.) \frac{24\pi }{5\ } ,\frac{63}{4} ,15.758, 956\sqrt{e} \\\\B.)\frac{24\pi }{5\ } ,15.758, \frac{63}{4},956\sqrt{e} \\\\\\C.)956\sqrt{e} \,,15.758,\frac{63}{4} , \frac{24\pi }{5\ } \\ D.)956\sqrt{e} ,\frac{63}{4},15.758, \frac{24\pi }{5\ } \\[/tex]
A.) [tex]\frac{24\pi }{5} < \frac{63}{4} < 15.758 < 956\sqrt{e}[/tex] is the set of numbers correctly ordered from least to greatest (ascending order).
What is ascending order?
Ascending order is a method of arranging numbers from smallest value to largest value. The order goes from left to right. Ascending order is also sometimes named as increasing order.
[tex]\frac{24\pi }{5} = 15.0796\\\\\frac{63}{4} = 15.75\\\\956\sqrt{e} = 1576.177[/tex]
15.079 < 15.75 < 15.758 < 1576.177
[tex]\frac{24\pi }{5} < \frac{63}{4} < 15.758 < 956\sqrt{e}[/tex]
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took recovery need to know what answer is
Answer:
6 in.
Step-by-step explanation:
What you have selected is the correct answer.
To find the area of a square you multiply length and width.
Since this is a square all sides are the same number. So we would just square root 36. And we get 6. We then multiply that by 4(however many sides of a square) to find the perimeter. And we get 24.
Hope this isn't too late.
24/50 simplified lowest terms
Answer:
12/25
Step-by-step explanation:
Find the common factor that multiplies to 24 and 25. Then divided, and keep going until you CANNOT find one.
Answer:
[tex]\frac{12}{25} \\[/tex]
Step-by-step explanation:
[tex]\frac{24}{50} \\\\\mathrm{Factor\:the\:number:\:}\:24=2\times\:12\\\\=\frac{2\times\:12}{50}\\\\\mathrm{Factor\:the\:number:\:}\:50=2\times\:25\\\\=\frac{2\times\:12}{2\times\:25}\\\\\mathrm{Cancel\:the\:common\:factor:}\:2\\\\=\frac{12}{25}[/tex]
Apa-bear weighs 250 lb. Mama-bear weighs 50 pounds less than Papa-bear does. Their 2 cubs weigh 80 pounds each. What is the total weight of the Bear family?
Given :
Apa-bear weighs 250 lb.
Mama-bear weighs 50 pounds less than Papa-bear does.
Their 2 cubs weigh 80 pounds each.
To Find :
The total weight of the Bear family .
Solution :
Weight of mama bear = [tex]250-50\ lb=200\ lb[/tex] .
Total weight is the sum of all all weight .
[tex]W=\text{Weight of papa-bear + weight of mama-bear + weight of 2 cubs}[/tex]
[tex]W=250+200+2\times 80\\\\W=250+200+160\\\\W=610 \ lb[/tex]
Therefore , total weight of the Bear family is 610 lb .
Hence , this is the required solution .