1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
IrinaK [193]
2 years ago
7

Need help with question 15! please!!! This is due 02/2/22 which is tmr please!

Mathematics
1 answer:
Airida [17]2 years ago
5 0

Answer: x = 6

Step-by-step explanation:

Because we are given that the two figures are already similar, we can set up a proportional relationship to determine the value of x. Since the larger rectangle has a width of 21 and the smaller rectangle has a width of 7, those values can be used as the numerators in the proportion. Since the larger rectangle's length is x plus the additional 3 units on the smaller rectangle, x+3 and 3 can be used as the denominators in the proportion.

Next, we set up the proportion as follows:

\frac{21}{x+3} =\frac{7}{3}

Then, you cross multiply to get the equation:

63=7x+21

After solving down algebraically, you get the value of x to be 6.

I hope this helps!

You might be interested in
Which category do both of these shapes belong to
nekit [7.7K]

Answer:

D. Parallelogram

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
I can Multiply a 11x6 matric by a 6x7 matrix. The resulting matrix will be ??? Can somebody help me
Bumek [7]

Answer:

The resulting matrix will be 11 * 7

Step-by-step explanation:

Given

Matrices 11 * 6 multiplied by 6 * 7

Required

The dimension of the resulting matrix

When a matrix a * b is multiplies by a matrix b * c, the resulting matrix will be: a * c

In this case:

a * b = > 11 * 6

b * c => 6 * 7

So, the resulting matrix will be:

a * c => 11 * 7

3 0
2 years ago
A motorboat travels 275 kilometers in 5 hours going upstream. It travels 405 kilometers going downstream in the same amount of t
VladimirAG [237]

Step-by-step explanation:

275 \times 5 = 1375

The rate of the motorboat on still water is 1375

405 \times 5 = 2025

The current rate of the motorboat is 2025

4 0
3 years ago
In 1990, 1000 adults were randomly selected and each was asked if they smoked, 300
Oduvanchick [21]

Answer:

 The proportion of smokers was higher in 1990 than in 2000

Step-by-step explanation:

Solution

Recall that,

The total number of sample 1 (n1) = 1000

Total  sample 2 number  (n2) = 2000

The number of favourable events (X1) = 300

The number of favourable events (X2) = 500

so,

p₁ = X₁/n₁ = 300/1000 = 0.3

p₂ = X₂/n₂ =500/2000 =0.25

α = 0.05

We are interested in testing the hypothesis.

The  hypothesis (Null) ....>  H₀ : p₁ = p₂

Alternate hypothesis------ > H₁ : p₁ > p₂

Thus,

P = X₁ + X₂/ n₁ + n₂

P =300 + 500/1000 +2000

P =800/3000

=0.2667

Now,

Z₀ = P₁ - P₂/√ P (1 -P) (1/n₁ + 1/n₂)

Z₀ =  0.3 - 0.25/√0.2667  (1 - 0.2667) (1/1000 + 1/2000)

Z₀ = 0.4999999999999999/√ 0.2667 (0.7333000000000001) (0.001 +0.0005)

Then,

Z₀ = 0.4999999999999999/√0.00029335666500000004

Z₀ = 2.9193

so,

zα/2 = z0.05/2 =z0.025

zα/2 = 1.6448536269514722

Now, we apply the decision rule:

Decision Rule: Reject the null hypothesis if the statistic value test is higher than the critical value 1.6448536269514722

The statistic value, 2.9193 is greater than the critical value 1.6448536269514722,  then we will reject the null hypothesis.

Therefore, the proportion of smokers was higher in 1990 than in 2000

3 0
3 years ago
$3000 is invested in an account earning 8% interest compounded annually. How much will there be in the account after two years?
pshichka [43]

Answer: 3,500

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • Graph the line that passes through (2,5), parallel to the graph of 1.4x 8.5y=-3
    15·1 answer
  • Can someone please help me with this one
    15·1 answer
  • Which statement best describes the faces that make up the total surface area of this composite solid?
    14·2 answers
  • How can you reflect over X=Y
    6·2 answers
  • -4(4-3p) help me with this question
    14·2 answers
  • What is the median of the data set represented by the box plot 37, 45, 50, 67, 75
    13·2 answers
  • What is 10/11 times 11/12
    14·2 answers
  • Hellpppp<br><br> what's the missing number? 7/16 = ?/64<br><br> a) 4<br> b) 21<br> c) 28<br> d) 55
    5·2 answers
  • On Tuesday morning a school cafeteria served 16 gallons of orange juice during breakfast. How many cups are in 16 gallons?
    12·2 answers
  • A pygmy hippo and a regular hippo were recently born. The pygmy hippo had a mass of 5 1/2 kg at birth. The regular hippo had a m
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!