Step-by-step explanation:
Assign variables to the integers
Let the larger integer be 'A' and the smaller 'b'
Write Equations based on the Question
Since the sum of the integers is 75, then A + b = 75 (eq
1)
Since the larger number is three times more than the smaller, then A = 3b (eq2)
Combine the Equations and solve for variables
By substituting the value of A in eq1 into eq2
⇒ 3b + b = 75
4b = 75
b = ⁷⁵/₄ = 18.25
By substituting the value of b into eq1
⇒ A = 3(⁷⁵/₄)
A = ²²⁵/₄ = 56.25
∴ the larger integer is 56.25Check our Answer:
A + b = 56.25 + 18.75 = 75
39 is the answer
If $x$ is the larger integer, then the smaller integer is $x-3$. We find the sum and set it equal to 75:$$x+x-3=75\qquad\Rightarrow \qquad 2x=78\qquad\Rightarrow \qquad x=39$$The larger integer is $\boxed{39}$.
Select the correct answer.
Which pairs of polygons are congruent?
A.
pairs 1, 2, and 3
B.
pairs 1, 2, 3, and 4
C.
pairs 2 and 3
D.
pairs 1 and 3
The answer is D (pairs 1 and 3) because they both can make a shape.
Answer:
pairs 1 and 3
Step-by-step explanation:
Helena is thinking of a number. That number raised to the third power is 100 greater than when it is raised to the second number. What is the number Helena thinking about
Answer:
Step-by-step explanation:
Let the number = x
x^3 = x^2 + 100
x^3 - x^2 +0x - 100 =0
a = 1
b = - 1
c = 0
d = -100
My calculator solves these kinds of questions. The answer is
x1 = 5 Which we should be able to get without a special calculator
x2=-2+4i
x3 = - 2 - 4i
I doubt you need anything more than 5. If she is thinking of the complex numbers, she should be in a special class for people who think about such things
Here is a graph of the problem.
The island of Martinique has received $32000 for hurricane relief efforts. The island’s goal is to fundraise more than y dollars for aide by the end of the month. They receive donations of $4500 each day. Write an inequality that represents this situation, where x is the number of days.
Answer:
y=4500x+32000
Step-by-step explanation:
If they are increasing at a constant rate of 4500 then that is the coefficient of x, and if they received a 32000$ donation then that is the y-intercept so you add that to 4500x to get this equation.
Hope this answer helped!
Please help me solve this problem
Answer:
D) Dilation
Step-by-step explanation:
Guys pls help me!!!!!
For each parallelogram below, find the values of the missing sides or
angles.
Answer:
m ∠DCA
m ∠CAD = 56
m ∠CBA = 83°
Step-by-step explanation:
A parallelogram is a polygon with two pairs of parallel lines
m ∠CDA = m ∠CBA = 83° Opposite angles in a parallelogram are =
m ∠CAD = m ∠ACB = 56° CB ║ DA and alternating interior angle are =
m ∠DCA = 180° The sum of the angles in a triangle = 180°
m ∠ADC + m ∠CAD + m ∠DCA = 180 Parts of the triangle
83° + 56° + m ∠DCA = 180 Substitution
139° + m ∠DCA = 180°
m ∠DCA = 180° - 139°
m ∠DCA = 41°
every year rob reads 12 less books than his friend.
let t represent the number of books that rob reads and let b represent the number of books that his friend reads.
write an equation to represent the relationship between t and b
Solve for x.
2
——
X +6. =4
—
6
Question:
Solve for x.
2
——
X +6. =4
—
6
Answer:
1
,
5
)
Step-by-step explanation:
{
2
x
−
6
<
4
x
≥
3
−
2
x
+
6
<
4
x
<
3
Solve
2
x
−
6
<
4
when
x
≥
3
.
3
≤
x
<
5
Solve
−
2
x
+
6
<
4
when
x
<
3
.
1
<
x
<
3
Find the union of the solutions.
1
<
x
<
5
The result can be shown in multiple forms.
Inequality Form:
1
<
x
<
5
Interval Notation:
(
1
,
5
)
Make 'y' the subject of the formula: 17t+3hy=24
Answer:
y=[tex]\frac{24-17t}{3h}[/tex]
Step-by-step explanation:
Hi there!
We are given the formula 17t+3hy=24
We want to make y the subject of the formula, which also means that we want to solve the equation for y
To do that, we'll need to isolate y on one side, much like solving for an equation with real numbers.
Let's first subtract 17t from both sides.
17t+3hy=24
-17t -17t
___________
3hy=24-17t
Now on the left, we have 3hy, but remember; we want just y by itself. Once again, similar to solving an equation with real numbers, we can pretend that 3h is the coefficient of the equation, while y is our variable.
So to get y by itself, we'll need to divide both sides by 3h
y= [tex]\frac{24-17t}{3h}[/tex], which can also be written as y=[tex]\frac{8}{h} -\frac{17t}{3h}[/tex]
Hope this helps!
18x2 - 200
Whats the answer
What statement makes the open sentence 7x - 7=2x +8 true?
MULTIPLE CHOICE QUESTIONS: OPTIONS;
0, 1, 3, 4
WILL MARK BRIANLIEST
(d) Different sizes of ribbon need to be cut to go around various shapes. All of the following sizes are in inches. (a) without using your calculator, approximate the decimal equivalent of wach numberto the nearest tenth. (b) Order the ribbon sizes from least to greatest Answers
Soo :
1.73, 2.23, 3.46
Arianna needs 3/4 cup of flour to bake a batch of cupcakes. she has 1/2 cup of flour. what fraction of a batch can Arianna bake?
Answer:
She can bake 3/8 of a batch of cupcakes.
Step-by-step explanation:
If she only has 1/2 of the flour and you are trying to find the fraction of a batch she can make, you are essentially trying to figure out what is 1/2 of 3/4, which is basically just multiplying 1/2 by 3/4. This would get you the answer of 3/8. Hope this helps:)
Find the new price after the markdown given. Round to the nearest cent if necessary.
$100 marked down 65%
Answer:
$35
Step-by-step explanation:
Take the amount of money you've discounted the merchandise at and divide it by the sales price.
On a recent glider flight, Lucy took a tow to 3000 feet above
ground level. She found a good thermal draft and climbed 1800
feet higher. Then, she hit a big gap and lost 2250 feet.
a
What is her current altitude at this point?
Answer:
2550 feet
Step-by-step explanation:
3000+1800-2250=2550
A square mirror has a frame of length 64cm, then the length of each side is_________.
Answer:
the length of each side will be 16 cm.
Step-by-step explanation:
you can find the answer by dividing 64 by 4. the four is the sides of the square.
Answer: 16cm
Explanation:
If the mirror is a square and squares' sides are all the same length and they have four sides, you just divide 64 by 4 and get the answer of 16.
Frankie works after school at the carwash. He makes $50 every pay period, plus a $10 commission (x) on each car he cleans. Choose the linear function that
represents his total pay each pay period (y).
Answer:
y = 10x + 50
Step-by-step explanation:
What equation does the model show 20 blocks 17 shaded
Answer:
20-17=3
Step-by-step explanation:
Meaning 3 blocks are unshaded and 17 out of the 20 are shaded or as a fraction 17/20
i need help i dont really understand what they mean by y=-x+7 please help me ty and no links!!
Answer:
Step-by-step explanation:
y = -x + 7 is a linear equation in slope-intercept form, y = mx + b.
The slope (m) measures the unit changes in the output (y ) for each one-unit change in the input (x) value.
b = the y-ccordinate of the y-intercept, (0, b). The y-coordinate, b, is what you will use for the slope-intercept form. The y-intercept is the point on the line where it crosses the y-axis.
Graphing y = - x + 7:To graph y = -x + 7, use the slope, m = -1 (down 1 unit, run 1 unit), and the y-intercept, (0,7) to plot points on the graph to connect a line with.
Vertical Line (Definition):The equation, x = 3 represents a vertical line with an undefined slope. A vertical line has undefined slope because all points the line have the same x-coordinate. Since any two points on a vertical line have the same x-coordinate, slope cannot be computed as using the slope formula, m = (y₂ - y₁)/(x₂ - x₁), as it will involve a division by zero (which consitutes an undefined operation).
Graphing x = 3:To graph x = 3, choose any point on the graph that has an x-coordinate of 3, then draw a vertical line from there.
The given equation has a solution that occurs at point (3, 4). Attached is an edited screenshot of the image that you uploaded.
Acme Auto Parts gives all of their sales people an hourly wages and 3% commission on all the sales they ring up. Daniel rang up $3200.00 last week. How much did Daniel earn in commissions for the week?
Answer:
he earned 96$ in commissions
Step-by-step explanation:
Please help!!
use the formula y= mx + b for both
Answer:
see below :)
Step-by-step explanation:
First graph: y = 2x + 0
- slope: 2/1 = 2
- y-in: (0, 0)
Second graph: y = 2/3x + 0
- slope: 2/3 = 2/3
- y-in: (0, 0)
Answer the following:
1. A 2.5k race is called a 2.5k because the race is 2.5k km long. How many meters long is a 2.5k race?
2.A football field is 100 yards from end to end. What is the length of a football field in feet?
3. A rock has a mass of 1000 pounds What is the mass of the rock in tons?
4. Chris measured a string for his art project. It is 200 millimeters long. How many cm is the string?
5. Cheryl is moving to a new house. How many meters is the old house from the new house?
Answer:
Step-by-step explanation:
1. 2500 metres
2. 360 feet
3. 1.78 – 2.02 tonnes
4. 20
5. cant answer
brainiest please im so close to next level, just need one more
Two plants are being compared for how many zucchinis are picked from each plant each week, the data shown in two plot points What is the difference between the medians of the dot plot points.
Please explain it!
Answer:
2
Step-by-step explanation:
Plant A has a median of 3
Plant B had a median of 5
The median is the last number(s) left when you put them from least to greatest and cross them off.
Natalia is writing a recursive formula to represent the sequence.
8, 12, 18, 27, ...
What value should she use as the common ratio in the formula?
Answer:
There is no common ratio.
Step-by-step explanation:
I divided each number in the sequence from the number preceding it and the answer was not one of the numbers in the series. this would mean that there is no common ratio. (please correct me if i am wrong)
In Texas, the coldest temperature ever recorded is
–
23°F. That's a lot chillier than in Florida, where the coldest recorded temperature is
–
2°F.
How many degrees warmer is Florida's coldest recorded temperature than Texas's?
°F
Answer:
I searched this and it said Florida's coldest temperature was -2°F and Texas's was -23. So the answer is 21.
Step-by-step explanation:
Texas's lowest temp: -23
Florida's lowest temp: -2
The difference is 21°F
Check the answer:
-23+21=-2
Plz HELP Directions: Write your own recipe for trail mix with a catchy name that will make
people want to eat it. You can also create a slogan, logo, or package design for the
mix. Your recipe must meet the following contest guidelines:
1. It must have at least five different ingredients.
2. The amount of each ingredient should be represented by a different mixed
number.
3. The recipe must make exactly 10 cups of trail mix.
After you write your recipe, complete the following for your contest entry:
• Prove that your recipe makes exactly 10 cups.
• Explain the most efficient method for measuring each ingredient using only
the following two measuring cups:
1
3
cup and
1
4
cup. You can use one or
both of the measuring cups. Note: Depending on the fractions that you chose
for your ingredient amounts, it may not be possible to create each exact
amount using only
1
3
and
1
4
measuring cups. If you need to, you can round
your ingredient amounts using benchmarks and then explain how you would
estimate that amount. For example, if you need
4
7
cup of an ingredient,
4
7
cup is slightly more than
1
2
cup. You could fill up your
1
4
measuring cup twice
to make
1
2
cup of that ingredient, and then add just a tiny bit more to
estimate
4
7
cup.
• Use equations or other models to show how you would measure each
ingredient amount with only the two measuring cup sizes.
Your recipe and explanations will be submitted as your portfolio assessment.
Answer:
all the answer is the answer is yes then please diamond dedo plz
Step-by-step explanation:
it will increase by 75 think the answer is the first time
4q-5=7 q equals what?
5
Answer:
q= 3
Step-by-step explanation:
4q-5=7
4q=7+5
4q=12
4q/4= 12/4
q=3
Just send in the answer please I don’t need an explanation
Answer:
Step-by-step explanation:
Now as you can see based on the equation needed, it requires you to multiply the weight of an average banana times your mother. Doing this should give you the correct answer.
d= 4/5a + h solve for a
Answer:
5/4d - 5/4h = a or a = 5d-5h/4
Step-by-step explanation:
d = 4/5a + h
~Subtract h to both sides
d - h = 4/5a
~Multiply 5/4 to both sides
5/4d - 5/4h = a or a = 5d-5h/4
Best of Luck!
HELP I HAVE 10 MINUTES
George's family is on a road trip. After driving for a while, they stopped for gas, and then traveled 5834 more miles before they decided to stop for lunch. After lunch, they tripled their distance traveled before stopping for the night. Their total distance traveled that day was 381 miles. How many miles had they traveled before their first stop for gas?
Answer:
68 1/4
Step-by-step explanation:
Answer: YOU ARE SO CORRECT UP THERE
Step-by-step explanation: I TOOK THE QUIZ AND GOT 100%
Rotate this figure 270 degrees clockwise
Answer:
it's the third answer
Step-by-step explanation:
360 degrees is a full circle so you subtract the 90 degrees from it and get 270. The only turn it would need to be a full 360 is 90 degrees. hope this helps
Answer:
its the one pointing to the right
Step-by-step explanation:
if its pointing down then goes 180 clockwise, then it will be pointing straight up, then 270-180 is 90 so it goes 90 degrees clockwise.
