Answer : 96
x – y = 16 --------> equation 1
1/8 x + 1/2 y = 52
x is the higher grade and y is the lower grade
We solve the first equation for y
x - y = 16
-y = 16 -x ( divide each term by -1)
y = -16 + x
Now substitute y in second equation
1/8 x + 1/2 ( -16 + x ) = 52
1/8x - 8 + 1/2 x = 52
1/8x + 1/2x - 8 = 52
Take common denominator to combine fractions
1/8x + 4/8x -8 = 52
5/8x - 8 = 52
Add 8 on both sides
5/8x = 60
Multiply both sides by 8/5
x = 96
We know x is the higher grade
96 is the higher grade of Jose’s two tests.
The higher grade and lower grade of Jose’s two tests will be 96 and 80.
What is the solution of the equation?The solution of the equation means the value of the unknown or variable.
Jose asks his friends to guess the higher of two grades he received on his math tests.
He gives them two hints.
Let x be the higher number and y be the lower number.
The difference of the two grades is 16.
x - y = 16 ...1
The sum of one-eighth of the higher grade and one-half of the lower grade is 52.
x/8 + y/2 = 52
x + 4y = 416 ...2
Subtract equation 1 from 2, we have
4y + y = 416 – 16
5y = 400
y = 80
Then the value of x will be
x – 80 = 16
x = 80 + 16
x = 96
The higher grade and lower grade of Jose’s two tests will be 96 and 80.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
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The model below can be used to find the quotient of 1/2÷1/4. What is the quotient?
Step-by-step explanation:
The quotient is 0.125
I think this should be the answer
Answer:
0.125
Step-by-step explanation:
Please help ASAP Thankies ;-;
Answer:
RT
Step-by-step explanation:
The diameter goes from one side of the circle to the other side passing through the center
The only diameter given is RT
Athena is going to draw one marble from a paper sack. Inside the sack, there are 6 blue marbles, 6 black marbles, 3 green marbles, and 2 purple marble. What is the complement to the probability that she will draw a purple marble? A 16/17 B 15/17 C 13/17 D 2/7
Answer:
D. 2/17
Step-by-step explanation:
Add all of the marbles: 6 blue marbles + 6 black marbles + 3 green marbles + 2 purple marbles = 17 marbles altogether.
Since there are 2 purple marbles out of 17 marbles in the paper sack, the complement to the probability that she will draw a purple marble is 2/17.
Which problem can best be solved with the inequality
40 – 3x2 5?
Answer:
1st option
Step-by-step explanation:
\The sphere's radius is half the radius of the hemisphere. How does the volume of this hemisphere compare with the volume of the sphere?
Answer:
4 : 1 or 4 times
Step-by-step explanation:
V of sphere is
V = 4/3 π r³
then we can compare both of them dirextly
Vs : Vhs
4/3 π r³ : ½ (4/3 π (2r)³)
4/3 π r³ : ½ * 4/3 π 8r³
1 : ½ * 8
1 : 4
Vhs : Vs = 4 : 1
so the volume of hemisphere is 4 times bigger than the sphere.
Answer:
It is greater than the volume of the sphere.
Step-by-step explanation:
imagine math :D
Drilon got 63 out of 72 correct in his test. What fraction of the marks did he get correct?
Answer:
Fraction = [tex]\frac{7}{8}[/tex]
Step-by-step explanation:
Total Marks = 72
Obtained Marks = 63
Fraction = [tex]\frac{Obtained Marks}{Total Marks}[/tex]
Fraction = [tex]\frac{63}{72}[/tex]
In simplified form
Fraction = [tex]\frac{7}{8}[/tex]
If y varies directly with x, and y is 14 when x is 2,
what is the value of x when y is 35?
X =
DONER
nt of
Answer: x = 5
Step-by-step explanation:
14 / 2 = 7
7 * 5 = 35
Same applies for x
2 / 2 = 1
1 * 5 = 5
Convert the following equation
into slope intercept form.
3x + y = -3
Answer: y = -3x -3
Step-by-step explanation:
y = mx + b
3x + y = -3
y = -3x -3
Answer:
slope intercept form: y=mx+c
*m = gradient
*c = y-intercept
3x + y = -3
y = -3x - 3
Find the volume of a prism that is 5 m long, 40 cm wide, and 2500 mm high.
Answer:
5.0 [tex]m^3[/tex]
Step-by-step explanation:
The volume of a rectangular prism is given as:
V = L * W * H
where L = length
W = width
H = height
Put all the dimensions in the same unit, metre (m).
Length = 5 m
Width = 40 cm = 40 / 100 = 0.4 m
Height = 2500 mm = 2500/1000 = 2.5 m
The volume of the prism is:
V = 5 * 0.4 * 2.5 = 5.0 [tex]m^3[/tex]
If x/y + y/x = -1 , find the value of x^3 - y^3
Answer:
0
Step-by-step explanation:
Multiplying the first equation by xy, we have ...
x^2 +y^2 = -xy
Factoring the expression of interest, we have ...
x^3 -y^3 = (x -y)(x^2 +xy +y^2)
Substituting for xy using the first expression we found, this is ...
x^3 -y^3 = (x -y)(x^2 -(x^2 +y^2) +y^2) = (x -y)(0) = 0
The value of x^3 -y^3 is 0.
expand 2x - 5 and x-3
Answer:
2x^2 - 11x + 15
Step-by-step explanation:
Expand 2x - 5 and x - 3 means that the algebraic expressions be multiplied.
(2x - 5)(x - 3)
x(2x - 5) -3(2x - 5)
2x^2 - 5x - 6x +15 = 2x^2 - 11x + 15
3. Nancy and Harry are sliding a stone statue and moving it to a new location in their garden. Nancy is pushing the statue with a force of 120N at a 60° angle to the horizontal and Harry is pulling the statue with a force of 180N at a 40° angle with the horizontal. What is the magnitude of the horizontal force exerted on the statue?
Answer:
197,8879 N.
Step-by-step explanation:
The magnitude of the horizontal force exerted on the statue can be calculated using trigonometric functions.
The question given says that Nancy is pushing the statue with a force of 120 N at a 60° angle to the horizontal and Harry is pulling the statue with a force of 180 N at a 40° angle with the horizontal.
With that information can be calculated the horizontal force exerted on the statue by Nancy, the horizontal force exerted on the statue by Harry and, adding that results, the total horizontal magnitude can be calculated.
The cosine function can be used to calculate the horizontal component of the forces exerted by Nancy and Harry, to determine the horizontal component of the force exerted on the statue.
F= (120 N cos 60°) + (180 N x cos 40°)
F= 197,8879 N
solve for q 5q + 2p + 4 = 3q – 8
Answer:
q = -6 - p
Step-by-step explanation:
By collecting the like terms , we have:
5q - 3q = - 8 - 4 - 2p
2q = -12 - 2p
divide each term by 2 , we have
q = -6 - p
Answer:
q=-6-pSolution,
[tex]5q + 2p + 4 = 3q - 8 \\ or \: 5q - 3q = - 8 - 4 - 2p\\ or \: 2q = - 12 - 2p \\ or \: q = \frac{ - 12 - 2p}{2} \\ q = - 6 - p[/tex]
hope this helps...
Good luck on your assignment..
Can someone help me with the below question???
Answer:
so 2a+3b=±13
Step-by-step explanation:
4a²+9b²=97
ab=6
2a+3b=?
by using formula
(a+b)²=a²+b²+2ab
(2a+3b)²=(2a)²+(3b)²+2(2a)(3b)
(2a+3b)²=4a²+9b²+12ab
putting values
(2a+3b)²=97+12(6)
(2a+3b)²=97+72
(2a+3b)²=169
taking square root on both sides
√(2a+3b)²=√169
2a+3b=±13
i hope it will help you
Answer:
2a+3b = 13
Step-by-step explanation:
Using this formula
[tex](x+y)^2 = x^2+y^2+2xy[/tex]
Where,
x = 2a and y = 3b
Putting in the above formula
=> [tex](2a+3b)^2=4a^2+9b^2+12ab[/tex]
Putting 4a²+9b² = 97 and ab = 6
=> (2a+3b)² = 97+12(6)
=> (2a+3b)² = 97+72
=> (2a+3b)² = 169
Taking sqrt on both sides
=> 2a+3b = 13
Which point is located at (4, –2)? On a coordinate plane, point A is 2 units to the left and 4 units up. Point B is 4 units to the right and 2 units down. Point C is 4 units to the left and 2 units up. Point D is 2 units to the right and 4 units down. A B C D
Answer:
Point B is 4 units to the right and 2 units down
Step-by-step explanation:
Since our x is positive, we are going to the right of the x-axis (where positive values lay).
Since our y is negative, we are going down in the y-axis (where negative values lay).
Answer: point B matches (4,-2)
Step-by-step explanation:
Within parentheses, the first number is the x-coordinate. Positive numbers are given without the +sign and they go to the Right. Negative -numbers go to the left.
The second number is the y-coordinate. Positive numbers go up, -numbers that are negative go down.
In this example it will be 4 Right and 2 Down.
2p+8=20-p what is the value of p??
Answer:
4
Step-by-step explanation:
3p+8=20
3p=12
p=4
Answer:p=4
Step-by-step explanation:
2p+8=-p+20
Step 2: Add p to both sides.
2p+8+p=-p+20+p
3p+8=20
Step 3: Subtract 8 from both sides.
3p+8-8=20-8
3p=12
Step 4: Divide both sides by 3.
3p/3=12/3
p=4
What is an expression equivalent to
8
with a denominator of 11d.
11
Answer: 88/11.
Step-by-step explanation:
We want to find a expression, with a denominator of 11, that is equivalent to 8.
remember that if we have the expression A/B
the numerator is A, and the denominator is B.
Then we have:
A/11 = 8
we need to find the value of A.
To do this, we can multiply by 11 in both sides of the equation:
(A/11)*11 = 8*11
A = 88
Then the expression is:
88/11.
Which expression could be converted into a terminating decimal number?
Answer:
D
Step-by-step explanation:
[tex]\dfrac{\sqrt{4}}{\sqrt{25}}= \\\\\\\dfrac{2}{5}= \\\\\\0.4[/tex]
Hope this helps!
A box contains red, purple and green beads in the ratio 4:6:7 There are 1428 more green beads than red beads.
How many green beads are in the box?
Answer:
3332 green beads
Step-by-step explanation:
There are 1428 more green beads than red beads.
There are 3,332 greed beads in the box
Given :
A box contains red, purple and green beads in the ratio 4:6:7
From the given ratio,
number of red beads = 4x
number of purple beads= 6x
number of green beads= 7x
There are 1428 more green beads than red beads.
green beads =1428 + red beads
[tex]7x=1428+4x\\3x=1428\\x=476[/tex]
we know that number of green beads= 7x
number of green beads= [tex]7(476)=3332[/tex]
There are 3,332 greed beads in the box
learn more : brainly.com/question/20318626
Anwen walks at an average
speed of 3 km/h for 2 hours
20 minutes. How far has Anwen
walked?
Answer:
7 km
Step-by-step explanation:
2 hours 20 minutes is 2 and 1/3 hours. 3 * 2 and 1/3 = 3 * 7/3 = 7km.
Answer: 7 km
Step-by-step explanation:
In 1 hour, he did 3 km
In 2 hours, he will do 6 km
20 minutes = 20/60 = 1/3
In 20 minutes, he will do 1/3 x 3 = 1 km
So total distance travelled = 7 km
HELP ASAP PLSSSS, I NEED HELP
Answer:
w=6
Step-by-step explanation:
w=6
If you double 5 on the bottom to get 10, you will also have to double 3 on the top.
An easy way you could do this is by cross products. 3(10)=5(w). w=6
Answer:
w = 6
Step-by-step explanation:
3/5 = w/10
Cross multiply.
10 × 3 = 5 × w
Multiply.
30 = 5w
Divide 5 on both sides.
30/5 = w
6 = w
Find the product: (50z + 20)(10z + 4) ( 1 ) 12. Find the product: (88a + 80)(8a + 8)
Answer:
1. 60z, 36
2. 96a, 88
Step-by-step explanation:
1.
First, find the like terms for z. (60z)
Second, find the like terms for 20, 4, and 12. (36)
2.
Combine the 88a and 8a (96a)
Then combine 8 plus 80 (88)
Answer:
(50z+20)(10z+4)
=50z(10z+4)+20(10z+4)
=500z²+200z+200z+80
=500z²+400z+80
(88a+80)(8a+8)
=88a(8a+8)+80(8a+8)
=704a²+704a+640a+640
=704a²+1344a+640
Step-by-step explanation:
i hope this will help you:)
Your teacher puts four slips of paper in a jar, each with a different shape. Every day,
each person chooses one paper from the jar to determine what activity they get to do
at the end of the day. After choosing, the paper is always returned to the jar.
What is the probability of choosing the paper with a circle on it?
CLEAR
CHECK
%
Answer:
The answer would be a 25% chance of picking the paper with a circle on it
Step-by-step explanation:
Since there are 4 pieces of paper there would be a 25% chance for each 25 x 4 is 100.
Express the ratio below in its simplest form. 18:9
Answer:
2:1Step-by-step explanation:
[tex]18 :9\\\frac{18}{9} \\Use -3- to- divide- through\\= \frac{2}{1} \\= 2:1[/tex]
Erin has x working toys and y broken toys. Bert plays with Ernie's toys and breaks 1/3 of the working toys. Ernie then throws aways 1/4 of all of the broken toys. In terms of x and y, how many toys did Ernie throw away,
Answer:
y/4 + x/12
Step-by-step explanation:
The number of working toys = x
The number of broken toys = y
Bert breaks 1/3 of the working toys, that is:
1/3 * x = x/3
The number of broken toys is now:
y + x/3
Ernie then throws away 1/4 of the broken toys. In terms of x and y, the number of broken toys that Ernie threw away is:
1/4 *(y + x/3)
= y/4 + x/12
Find the slope of the line passing through (0,-5) and (-4, 7),
Answer:
m = -3
Step-by-step explanation:
The slope formula is y2 - y1 / x2 - x1
7 - -5 = 7 + 5 = 12
-4 - 0 = -4
12 / -4 = -3
I hope this helps :))
9. Write in point-slope form, slope-intercept form, and standard form an equation that passes
through (- 1, 2) with slope 4.
Answer:
work is shown and pictured
What is the solution to this equation?
7x-2(x - 10) = 40
O A. x= 10
O B. x= 4
O c. x = 12
O D. x= 6
Answer:
B.
Step-by-step explanation:
The quickest and fastest way to do this is to guess and check. Simply plug in the given values one by one into a calc and you should see that x = 4 works.
Answer:
x=4
Step-by-step explanation:
7x-2(x - 10) = 40
Distribute
7x -2x +20 = 40
Combine like terms
5x +20 =40
Subtract 20
5x +20 -20 = 40-20
5x= 20
Divide by 5
5x/5 = 20/5
x =4
Maria, Max, Molly, and Mitch are all picking apples at an orchard. The number of apples Max picks is the number of apples Maria picks squared. Molly picks the number of apples that Max and Maria pick combined. Mitch picks the number of apples Molly picks squared plus the number of apples that Maria picks. If Maria picks 3 apples, then how many apples does Mitch pick
Answer:
147
Step-by-step explanation:
Given: Maria=3
Max=3 squared=9
Molly=Max+Maria=9+3=12
Mitch=Molly squared+Maria=144+3=147
Hope this helps!
Solution:
Since Max picks the number of apples that Maria does but squared, then Max picks 3^2=3 * 3=9 apples. Since Molly picks the number of apples that Maria picks plus the number that Max picks, Molly picks 3+9=12 apples. Finally, Mitch picks the number Molly picks squared plus the number Maria picks, so Mitch picks 12^2+3=12 * 12 +3=144+3=147 apples.
Work out the area of this circle with a radius of 6mm. Give your answer in terms of pi
Answer:36π mm^2
Step-by-step explanation:
Formula for area of a circle =
πr^2
r=6mm
π*6^2
π*36
36π mm^2
Answer:
36 π mm²
Step-by-step explanation:
r= 6 mm
A= πr²
A= π* 6²= 36 π mm²