Answer:
c = 4, d = - 1
Step-by-step explanation:
Expand and simplify left side, then compare coefficients of like terms on the right side, that is
3(2x + d) + c(x + 5) ← distribute parenthesis
6x + 3d + cx + 5c
= x(6 + c) + 3d + 5c
Compare terms with those on the right side
coefficients of x- terms
6 + c = 10 ( subtract 6 from both sides )
c = 4
--------------
constant terms
3d + 5c = 17, that is
3d + 5(4) = 17
3d + 20 = 17 ( subtract 20 from both sides )
3d = - 3 ( divide both sides by 3 )
d = - 1
The value of c and d if 3(2x+d)+c(x+5)=10x+17 is 4 and -1 respectively
Given the equation:
3(2x+d)+c(x+5)=10x+17
Expand the bracket
6x + 3d + cx + 5c = 10x + 17
Collect the like terms
6x+cx + 3d + 5c = 10x + 17
x(6+c) + 3d + 5c = 10x + 17
Compare the coefficients of x on both sides
x(6+c) = 10x
6+c = 10
c = 10 - 6
c = 4
Similarly:
3d + 5c = 17
3d + 5(4) = 17
3d + 20 = 17
3d = 17 - 20
3d = -3
d =-3/3
d = -1
Hence the value of c and d if 3(2x+d)+c(x+5)=10x+17 is 4 and -1 respectively
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The top of a building is a cone 10 meters tall with a radius of 4 meters at the base. Round to the nearest hundredth.
Answer:
V = 167.55 m³
Step-by-step explanation:
Given that,
The height of a cone, h = 10 m
Radius of the cone, r = 4 m
It can be assumed to find the volume of the cone. Th formula for the volume of a cone is given by :
[tex]V=\dfrac{1}{3}\pi r^2 h\\\\V=\dfrac{1}{3}\pi \times (4)^2\times 10\\\\V=167.55\ m^3[/tex]
So, the required volume is 167.55 m³.
What is the difference in length between the longest meteor and the shortest meteor?
Thanks! Hope your right! Hope you have a great day
At East Coast Dogs, 9 of the last 18 customers wanted mustard on their hot dogs. Considering this data, how many of the next 8 customers would you expect to want mustard?
Answer:
9
Step-by-step explanation:
because the paragraph is telling you 9 of the 18 customers want mustard on their hot dog so the paragraph is telling you de answer
Answer:
57
Step-by-step explanation:
First, write the experimental probability as a fraction in simplest form.
P(mustard)
=
mustard
total
=
mustard
mustard+other
=
30
30+10
=
30
40
=
3
4
The experimental probability is
3
4
.
We can predict the outcome of the second set of trials by assuming that the ratio will be the same as in the first set of trials. Write a proportion by setting the two ratios equal to each other, then solve.
3
4
=
n
76
3
4
(476)
=
n
76
(476) Multiply both sides by (476)
376
= 4n Simplify
228
= 4n Simplify
57
= n Divide both sides by 4
You would expect 57 of the next 76 customers to want mustard.
Justin made 6 pounds of granola to sell at his community fair. He charges $6.35 for each 23-pound bag of granola.
How much money will Justin earn if he sells all of the granola?
Answer: 38.1$
Step-by-step explanation:
Answer:
About $24.34
Step-by-step explanation:
if you do 23 divided by 6 you get 3.8333333 then you do 3.83333333 times 6.35 and you get about $24.34.
is there anyone who can find the x and y intercepts of y = log 4 (x + 16) - 1?
2. Which expression is equivalent to 11-4x118?
A.
121-32
B.
11-32
C.
114
D.
1214
What does to solve the equation x - 2 = 9 (hint: you would need to subtract 2) form both sides of the equation am I correct?
Answer:
I think the answer to X = 11.
Step-by-step explanation:
X - 2 = 9, correct?
11 - 2 = 9.
I hope this can help! Please correct me
if i got it wrong. :D
Roberta earns $262.50 per week. She works 30 hours per week. How much does she earn per hour
Answer:
292.5
Step-by-step explanation:
Roberta earns $262.50 per week so i added 262.50 and 30 and got 292.5
Find y. Simplify completely.
y=√9+√25
3+5
=8
division is addition
PMark for Review
5 The Raven Club sold tickets to the local fall festival. On day one, they sold 50 child tickets and 75 adult
tickets and the total was $525. On day two, they sold 45 child tickets and 65 adult tickets and the total
was $460. What was the cost of the adult tickets?
Answer:
Y = 6
Step-by-step explanation:
On the first day of ticket sales the school sold 3 adult ticket and 8 student tickets for a total of $72. The school took in $152 on the second day by selling 7 adult tickets and 16 student tickets. How much is a student ticket?
Day 1: 3x + 7y = 72
Day 2: 7x + 16y = 152
This becomes a system of equations.
3x+8y=72
3x+8y+−8y=72+−8y (Add -8y to both sides)
3x=−8y+72
3x/3 = −(8y+72)/3
X = (-8/3) y + 24
Substitute (-8/3) y + 24 for x in7x+16y=152:
7(-8/3 y + 24) + 16y = 152
-8/3 y + 168 = 152 (Simplify both sides of the equation)
-8/3 y + 168 − 168 = 152 + (−168) (Add -168 to both sides)
-8/3 y = -16
(-8/3 y)/(-8/3 y) = -16/ -8/3 y (Divide both sides by (-8)/3)
y = 6
Keylina used 8 cups of chocolate chips to make 4 batches of muffins. Which of the following rates represent the cups of chocolate chips per batch of muffins?
2 cup per batch.
8 ÷ 4 = 2
Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. For what number of shirts would the cost be the same?
What are the variables, equations, and how do you solve?
i don't know what ur say can u be more specif sorry
Suppose a motorcycle costs $8,000 and loses 4% of its value each year. What will be the value of the motorcycle after 7 years?
Answer:the answer is 6,012 after 7 years
Step-by-step explanation:
i just took the quiz
given: y is the midpoint of xz
prove: xy = 1/2xz
Answer:
yes im pretty sure that is correct
please help and thank you
Answer:
0.40 cents per apple
Step-by-step explanation:
$1.59 divided by 4= 9.3975= 0.40 (to the nearest hundredth)
How would you simplify the expression represented by the diagram below? Four figures. The first consists of 4 squares each labeled 1. The second consists of 2 rectangles each labeled c. The third consists of 2 squares each labeled 1. The fourth consists of one rectangle labeled c.
Based on the description of the diagram, we get simplified expression is 6 + 3c.
Describe Algebraic Expression?An algebraic expression is a mathematical phrase that consists of variables, constants, and arithmetic operations (such as addition, subtraction, multiplication, and division), as well as exponentiation and roots. These expressions are used to represent mathematical relationships and formulas in a concise and standardized way.
Based on the description of the diagram, we can simplify the expression as follows:
There are 4 squares labeled 1, so their total value is 4.
There are 2 rectangles labeled c, so their total value is 2c.
There are 2 squares labeled 1, so their total value is 2.
There is 1 rectangle labeled c, so its value is c.
Therefore, the expression represented by the diagram simplifies to:
4 + 2c + 2 + c
6 + 3c
So the simplified expression is:
6 + 3c.
To know more about expression visit;
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If point (7.b) is in Quadrant I and point (a.--3)
is in Quadrant III, in which Quadrant is the point
(a,b)?
Answer:
II
Step-by-step explanation:
In Quad I b(y) is positive and in Quad III a(x) is negative so (-,+)
x is negative and y is positive in Quadrant II
Ian bought a can of soup to give to his friend.(Ian is cheap) Now he wants to wrap the entire soup can. If the can has a circular base with a diameter of 4 inches and a height of 6 inches, how much wrapping paper will Ian need?
Answer:10inches
Step-by-step explanation:
HELP!!!!!!!If a 0.27 cm long crystal appears to be 13.5 cm long under a
microscope, what is the power of the microscope?
Answer:
50 times magnification
Step-by-step explanation:
13.5/0.27
The locations of Mr. Zavala's house (3, 2) and office (6, 11) are mapped on the coordinate plane below.
his daughter school is 2/3 the distance from his house to his office and lies on the segment shown. What are the coordinates of the school?
Answer: (5,8)
Step-by-step explanation:
Anyone can help me with this math question?
Answer:
1,890 feet
Step-by-step explanation:
2 inches=30 feet
4.2 inches= 63 feet
63ft x 30 ft= 1,890ft
find the value of x
7x+2=16
The measure of EFH is twice the measure of GFH. What is the
degree measure of GFH?
HELP PLEASE I NEED HELP ASAP IM TIMED
Answer:
30 degree's
Step-by-step explanation:
Becuase the rule is GFH(2)+EFH
And GFH+EFH+90 the only solution is 30 and 60.
What is the mean?
-9 -9 -3 -6 -7
Answer:
-6.8
Step-by-step explanation:
To find the mean, you add all the numbers together, then divide that number by the amount of numbers there were, so:
-9 + -9 + -3 + -6 + -7 = -34
-34/5 = -6.8
Yoooo, if you gave me brainliest that would be pretty pog. Because as it turns out, only a small percentage of the people I answer actually give me brainliest. I'm trying to get Virtuoso by the end of the day, and you giving me brainliest would really help out. Also while you're at it leave a thanks and a 5-star rating to help boost this answer in the brainly algorithm.
a model plane has a scale of 1 in: 2 ft. if the real plane is 12 ft tall then how tall is the model plane.
Answer:
6ft tall
Step-by-step explanation:
Given we know that the scale is 1 in 2ft.
Using this information we know we could divide 12/2=6. We also know that we could multiply 2×6=12. Therefore, we know that the model plane is 6ft tall.
I hope this helps!
Round 38224 correct to 1 significant figure
Mhanifa please help I will mark brainliest!
Parallel lines problem:
Parallel lines have the same slope, so the answer should give a pair of lines whose slope is equal to that of line m, i.e., 2/3.
The only line that fits the bill is line p, whose slops is (8-6)/(12-9) = 2/3; none of the other lines has a slope of 2/3. Thus, b would be the correct answer here for the first image.
Congruent triangles problem:
Segment ZX and angle Y would be congruent to segment SQ and R, respectively, so the correct answer for the second image would be a.
What does it mean to reason mathematically?
(-3,-4)&(-2,-8)
find the slope between the two points
Answer:
Step-by-step explanation:
Givens
y2 = - 4
y1 = - 8
x2 = - 3
x1 = - 2
==========
Equation
m = (y2 - y1) / (x2 - x1)
m = (-4 - - 8) / (-3 - - 2)
m = 4 / - 1
m = - 4
Answer:
(1, -4)
Step-by-step explanation:
(-3, -4) >> (x1, y1)
(-2, -8) >> (x2, y2)
(y2 - y1) -8 - (-4) = -4
----------- >>>
(x2 - x1) -2 - (-3) = 1
x always goes first in a coordinate, so
(1, -4)
Hope this helped ;)
Please Help!!!......